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\(A=6x^2+23x+21-\left(6x^2+23x-55\right)=76\\ B=x^4+x^3-x^2-2x^2-2x+2-x^4-x^3+3x^2+2x\\ =2\\ C=x^4+x^3-3x^2-2x-\left(x^4+x^3-x^2-2x^2-2x+2\right)\\ =-2\)
Bài 2
a. (x-2y)2 =2x-4y
b. (2x^2 +3)2 =4x^2+6
c. (x-2) (x^2+2x+4) = x^3-8 (hằng đẳng thức)
d. (2x-1)3 = 6x-3
Xin lỗi mik chỉ lm ổn bài 2 thôi!
$(x-2y)^2$
$=x^2-2\cdot x\cdot 2y+(2y)^2$
$=x^2-4xy+4y^2$
b)$(2x^2+3)^2$
$=(2x^2)^2+2\cdot2x^2\cdot3+3^2$
$=4x^4+12x^2+9$
c)$(x-2)(x^2+2x+4)$
$=x(x^2+2x+4)-2(x^2+2x+4)$
$=x^3+2x^2+4x-2x^2-4x-8$
$=x^3-8$
d)$(2x-1)^3$
$=(2x)^3-3(2x)^2\cdot1+3\cdot2x\cdot1^2-1^3$
$=8x^3-12x^2+6x-1$
a,\(=x^2-4x-x^2-2x+6x\)
\(=\left(x^2-x^2\right)+\left(-4x-2x+6x\right)\)
\(=0\)
b,\(\left(x-3\right)\left(x^2+3x+9\right)-x\left(x^2-1\right)\)
\(=x^3-9-x^3+x\)
\(=x-9\)
a,\(x\left(x-4\right)-x\left(x+2\right)+6x\)
\(=x^2-4x-x^2-2x+6x\)
\(=\left(x^2-x^2\right)-\left(4x+2x-6x\right)\)
\(=0-0\)
\(=0\)
b,\(\left(x-3\right)\left(x^2-3x+9\right)-x\left(x^2-1\right)\)
\(=x^3-6x^2-27-x^3+x\)
\(=-6x^2+x-27\)
Viết phép tính k hiểu
Đó là phân số ạ
a: \(\left(\dfrac{3x-x^2}{9-x^2}-1\right):\left(\dfrac{9-x^2}{x^2+x-6}-\dfrac{x-3}{2-x}-\dfrac{x+2}{x+3}\right)\)
\(=\left(\dfrac{x}{x+3}-1\right):\dfrac{9-x^2+x^2-9-x^2+4}{\left(x-2\right)\left(x+3\right)}\)
\(=\dfrac{x-x-3}{x+3}\cdot\dfrac{\left(x+3\right)\left(x-2\right)}{-x^2+4}\)
\(=\dfrac{-3}{1}\cdot\dfrac{\left(x-2\right)}{-\left(x-2\right)\left(x+2\right)}=\dfrac{3}{x+2}\)
b: \(\left(\dfrac{x+2}{x-1}-\dfrac{x-1}{x+2}+\dfrac{x+5}{x^2+x-2}\right)\cdot\left(x^3-1\right)\)
\(=\dfrac{x^2+4x+4-x^2+2x-1+x+5}{\left(x+2\right)\left(x-1\right)}\cdot\dfrac{\left(x-1\right)\left(x^2+x+1\right)}{1}\)
\(=\dfrac{7x+8}{\left(x+2\right)}\cdot\dfrac{x^2+x+1}{1}\)