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thắng này m động nhầm người rồi

1. Phân tích đa thức 2x+x2∶3x2−3x4−2x2 x plus x squared colon 3 x squared minus 3 x to the fourth power minus 2 x2𝑥+𝑥2∶3𝑥2−3𝑥4−2𝑥 Step 1: Rút gọn biểu thức Biểu thức đã cho là 2x+x2∶3x2−3x4−2x2 x plus x squared colon 3 x squared minus 3 x to the fourth power minus 2 x2𝑥+𝑥2∶3𝑥2−3𝑥4−2𝑥.
Ta có thể rút gọn các hạng tử tương tự:
2x−2x+x2∶3x2−3x4=x2∶3x2−3x42 x minus 2 x plus x squared colon 3 x squared minus 3 x to the fourth power equals x squared colon 3 x squared minus 3 x to the fourth power2𝑥−2𝑥+𝑥2∶3𝑥2−3𝑥4=𝑥2∶3𝑥2−3𝑥4 Giả sử dấu ":" là phép chia, ta có: x2∶3x2=x23x2=13x squared colon 3 x squared equals the fraction with numerator x squared and denominator 3 x squared end-fraction equals one-third𝑥2∶3𝑥2=𝑥23𝑥2=13 Vậy biểu thức trở thành: 13−3x4one-third minus 3 x to the fourth power13−3𝑥4 Step 2: Phân tích thành nhân tử Biểu thức cần phân tích là 13−3x4one-third minus 3 x to the fourth power13−3𝑥4.
Ta có thể viết lại biểu thức như sau:
13−3x4=3(19−x4)one-third minus 3 x to the fourth power equals 3 open paren one-nineth minus x to the fourth power close paren13−3𝑥4=319−𝑥4 Sử dụng công thức hiệu hai bình phương a2−b2=(a−b)(a+b)a squared minus b squared equals open paren a minus b close paren open paren a plus b close paren𝑎2−𝑏2=(𝑎−𝑏)(𝑎+𝑏), với a=13a equals one-third𝑎=13 b=x2b equals x squared𝑏=𝑥2: 3(19−x4)=3((13)2−(x2)2)=3(13−x2)(13+x2)3 open paren one-nineth minus x to the fourth power close paren equals 3 open paren open paren one-third close paren squared minus open paren x squared close paren squared close paren equals 3 open paren one-third minus x squared close paren open paren one-third plus x squared close paren319−𝑥4=3132−(𝑥2)2=313−𝑥213+𝑥2 Tiếp tục phân tích hạng tử đầu tiên sử dụng công thức hiệu hai bình phương, với a=13a equals the fraction with numerator 1 and denominator the square root of 3 end-root end-fraction𝑎=13√ b=xb equals x𝑏=𝑥: 3(13−x2)(13+x2)=3((13)2−x2)(13+x2)3 open paren one-third minus x squared close paren open paren one-third plus x squared close paren equals 3 open paren open paren the fraction with numerator 1 and denominator the square root of 3 end-root end-fraction close paren squared minus x squared close paren open paren one-third plus x squared close paren313−𝑥213+𝑥2=3⎝⎜⎜⎛13√2−𝑥2⎠⎟⎟⎞13+𝑥2 =3(13−x)(13+x)(13+x2)equals 3 open paren the fraction with numerator 1 and denominator the square root of 3 end-root end-fraction minus x close paren open paren the fraction with numerator 1 and denominator the square root of 3 end-root end-fraction plus x close paren open paren one-third plus x squared close paren=313√−𝑥13√+𝑥13+𝑥2 Answer: Kết quả phân tích đa thức là 3(13−x)(13+x)(13+x2)3 open paren the fraction with numerator 1 and denominator the square root of 3 end-root end-fraction minus x close paren open paren the fraction with numerator 1 and denominator the square root of 3 end-root end-fraction plus x close paren open paren one-third plus x squared close paren3(13√−𝑥)(13√+𝑥)(13+𝑥2).

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Câu 6:Thực hiện phép nhân -2x(x2 + 3x - 4) ta được:A.-2x3


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1. Phân tích đa thức 2x+x2∶3x2−3x4−2x2 x plus x squared colon 3 x squared minus 3 x to the fourth power minus 2 x2𝑥+𝑥2∶3𝑥2−3𝑥4−2𝑥 Step 1: Rút gọn biểu thức Biểu thức đã cho là 2x+x2∶3x2−3x4−2x2 x plus x squared colon 3 x squared minus 3 x to the fourth power minus 2 x2𝑥+𝑥2∶3𝑥2−3𝑥4−2𝑥.
Ta có thể rút gọn các hạng tử tương tự:
2x−2x+x2∶3x2−3x4=x2∶3x2−3x42 x minus 2 x plus x squared colon 3 x squared minus 3 x to the fourth power equals x squared colon 3 x squared minus 3 x to the fourth power2𝑥−2𝑥+𝑥2∶3𝑥2−3𝑥4=𝑥2∶3𝑥2−3𝑥4 Giả sử dấu ":" là phép chia, ta có: x2∶3x2=x23x2=13x squared colon 3 x squared equals the fraction with numerator x squared and denominator 3 x squared end-fraction equals one-third𝑥2∶3𝑥2=𝑥23𝑥2=13 Vậy biểu thức trở thành: 13−3x4one-third minus 3 x to the fourth power13−3𝑥4 Step 2: Phân tích thành nhân tử Biểu thức cần phân tích là 13−3x4one-third minus 3 x to the fourth power13−3𝑥4.
Ta có thể viết lại biểu thức như sau:
13−3x4=3(19−x4)one-third minus 3 x to the fourth power equals 3 open paren one-nineth minus x to the fourth power close paren13−3𝑥4=319−𝑥4 Sử dụng công thức hiệu hai bình phương a2−b2=(a−b)(a+b)a squared minus b squared equals open paren a minus b close paren open paren a plus b close paren𝑎2−𝑏2=(𝑎−𝑏)(𝑎+𝑏), với a=13a equals one-third𝑎=13 b=x2b equals x squared𝑏=𝑥2: 3(19−x4)=3((13)2−(x2)2)=3(13−x2)(13+x2)3 open paren one-nineth minus x to the fourth power close paren equals 3 open paren open paren one-third close paren squared minus open paren x squared close paren squared close paren equals 3 open paren one-third minus x squared close paren open paren one-third plus x squared close paren319−𝑥4=3132−(𝑥2)2=313−𝑥213+𝑥2 Tiếp tục phân tích hạng tử đầu tiên sử dụng công thức hiệu hai bình phương, với a=13a equals the fraction with numerator 1 and denominator the square root of 3 end-root end-fraction𝑎=13√ b=xb equals x𝑏=𝑥: 3(13−x2)(13+x2)=3((13)2−x2)(13+x2)3 open paren one-third minus x squared close paren open paren one-third plus x squared close paren equals 3 open paren open paren the fraction with numerator 1 and denominator the square root of 3 end-root end-fraction close paren squared minus x squared close paren open paren one-third plus x squared close paren313−𝑥213+𝑥2=3⎝⎜⎜⎛13√2−𝑥2⎠⎟⎟⎞13+𝑥2 =3(13−x)(13+x)(13+x2)equals 3 open paren the fraction with numerator 1 and denominator the square root of 3 end-root end-fraction minus x close paren open paren the fraction with numerator 1 and denominator the square root of 3 end-root end-fraction plus x close paren open paren one-third plus x squared close paren=313√−𝑥13√+𝑥13+𝑥2 Answer: Kết quả phân tích đa thức là 3(13−x)(13+x)(13+x2)3 open paren the fraction with numerator 1 and denominator the square root of 3 end-root end-fraction minus x close paren open paren the fraction with numerator 1 and denominator the square root of 3 end-root end-fraction plus x close paren open paren one-third plus x squared close paren3(13√−𝑥)(13√+𝑥)(13+𝑥2).

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