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nhiều lắm nhớ sao được có hơn 20 cái hằng đẳng thức mà tự tra google đi
\(a,19^2=\left(18+1\right)^2=18^2+2.18.1+1^2=324+36+1=361\)
\(28^2=\left(27+1\right)^2=27^2+2.27.1+1^2=729+54+1=784\)
\(81^2=\left(80+1\right)^2=80^2+2.80.1+1^2=6400+160+1=6561\)
\(91^2=\left(90+1\right)^2=90^2+2.90.1+1^2=8100+180+1=8281\)
\(b,19.21=\left(20-1\right)\left(20+1\right)=20^2-1^2=400-1=399\)
\(29.31=\left(30-1\right)\left(30+1\right)=30^2-1^2=900-1=899\)
\(39.41=\left(40-1\right)\left(40+1\right)=40^2-1^2=1600-1=1599\)
\(c,28^2-8^2=\left(28-8\right)\left(28+8\right)=20.36=720\)
\(56^2-46^2=\left(56-46\right)\left(56+46\right)=10.102=1020\)
\(67^2-57^2=\left(67-57\right)\left(67+57\right)=10.124=1240\)
\(X=7-2\sqrt{6}\)
\(X=\left(\sqrt{6}\right)^2-2\sqrt{6}.1+1\)
\(X=\left(\sqrt{6}-1\right)^2\)
ĐKXĐ: a>=6
\(\dfrac{a-7}{\sqrt{a-6}+1}=\sqrt{a-6}-1\)
\(A=\dfrac{\left|a-5\right|}{5-a}+\sqrt{a-6}\)
\(=\dfrac{a-5}{5-a}+\sqrt{a-6}=\sqrt{a-6}-1\)(ĐPCM)
\(7,=\left(\sqrt{x}\right)^2+2\cdot2\sqrt{x}+2^2=\left(\sqrt{x}+2\right)^2\\ 8,=\left(\sqrt{x}\right)^2-2\cdot3\sqrt{x}+3^2=x-6\sqrt{x}+9\\ 9,=\sqrt{x^3}+\sqrt{y^3}=\left(\sqrt{x}+\sqrt{y}\right)\left(x-\sqrt{xy}+y\right)\\ 10,=\sqrt{x^3}-\sqrt{y^3}=\left(\sqrt{x}-\sqrt{y}\right)\left(x+\sqrt{xy}+y\right)\\ 11,=\sqrt{x^3}+1^3=\left(\sqrt{x}+1\right)\left(x-\sqrt{x}+1\right)\\ 12,=\sqrt{x^3}-2^3=\left(\sqrt{x}-2\right)\left(x+2\sqrt{x}+4\right)\)
7: \(x+4\sqrt{x}+4=\left(\sqrt{x}+2\right)^2\)
8: \(\left(\sqrt{x}-3\right)^2=x-6\sqrt{x}+9\)
9: \(x\sqrt{x}+y\sqrt{y}=\left(\sqrt{x}+\sqrt{y}\right)\left(x-\sqrt{xy}+y\right)\)
7) \(x+4\sqrt{x}+4=\left(\sqrt{x}\right)^2+2\sqrt{x}.2+2^2=\left(\sqrt{x}+2\right)^2\)
8) \(\left(\sqrt{x}-3\right)^2=\left(\sqrt{x}\right)^2-2.\sqrt{x}.3+3^2=x-6\sqrt{x}+9\)
9) \(x\sqrt{x}+y\sqrt{y}=\sqrt{x^3}+\sqrt{y^3}=\left(\sqrt{x}+\sqrt{y}\right)\left(x-\sqrt{xy}+y\right)\)
10) \(x\sqrt{x}-y\sqrt{y}=\sqrt{x^3}-\sqrt{y^3}=\left(\sqrt{x}-\sqrt{y}\right)\left(x+\sqrt{xy}+y\right)\)
11) \(x\sqrt{x}+1=\sqrt{x^3}+1^3=\left(\sqrt{x}+1\right)\left(x-\sqrt{x}+1\right)\)
12) \(x\sqrt{x}-8=\sqrt{x^3}-2^3=\left(\sqrt{x}-2\right)\left(x+2\sqrt{x}+4\right)\)
9: \(x-1=\left(\sqrt{x}\right)^2-1^2=\left(\sqrt{x}-1\right)\left(\sqrt{x}+1\right)\)
10: \(x\cdot\sqrt{x}-1=\left(\sqrt{x}\right)^3-1^3\)
\(=\left(\sqrt{x}-1\right)\left(x+\sqrt{x}+1\right)\)
11: \(x-2\sqrt{x}-63\)
\(=x-9\sqrt{x}+7\sqrt{x}-63\)
\(=\sqrt{x}\left(\sqrt{x}-9\right)+7\left(\sqrt{x}-9\right)=\left(\sqrt{x}-9\right)\left(\sqrt{x}+7\right)\)
12: \(5\sqrt3-3\sqrt5=\sqrt{75}-\sqrt{45}=\sqrt{15}\cdot\sqrt5-\sqrt{15}\cdot\sqrt3=\sqrt{15}\left(\sqrt5-\sqrt3\right)\)
9: \(x-1=\left(\sqrt{x}\right)^2-1^2=\left(\sqrt{x}-1\right)\left(\sqrt{x}+1\right)\)
10: \(x\cdot\sqrt{x}-1=\left(\sqrt{x}\right)^3-1^3\)
\(=\left(\sqrt{x}-1\right)\left(x+\sqrt{x}+1\right)\)
11: \(x-2\sqrt{x}-63\)
\(=x-9\sqrt{x}+7\sqrt{x}-63\)
\(=\sqrt{x}\left(\sqrt{x}-9\right)+7\left(\sqrt{x}-9\right)=\left(\sqrt{x}-9\right)\left(\sqrt{x}+7\right)\)
12: \(5\sqrt3-3\sqrt5=\sqrt{75}-\sqrt{45}=\sqrt{15}\cdot\sqrt5-\sqrt{15}\cdot\sqrt3=\sqrt{15}\left(\sqrt5-\sqrt3\right)\)
9) \(x-1=\left(\sqrt{x}\right)^2-1=\left(\sqrt{x}-1\right)\left(\sqrt{x}+1\right)\)
10) \(x\sqrt{x}-1=\sqrt{x^3}-1=\left(\sqrt{x}-1\right)\left(x+\sqrt{x}+1\right)\)
11) \(x-2\sqrt{x}-63=\left(x-2\sqrt{x}+1\right)-64=\left(\sqrt{x}-1\right)^2-8^2=\left(\sqrt{x}-1-8\right)\left(\sqrt{x}-1+8\right)=\left(\sqrt{x}-9\right)\left(\sqrt{x}+7\right)\)





1. (a + b)2 = a + 2ab + b2
2. (a - b)2 = a2 - 2ab +b2
3. a2 + b2 = (a + b) - 2ab = (a - b) + 2ab
4. a - b = (a + b)(a - b)
chi nho 4 cai do thui bn co gi hoi mk co hinh anh ban hay dua mail cho mk nhe mk cho bn 13 hang dang thuc luon
xl em ko biết
because em ms lớp 1
uk thui em thank
em biết , biế chết liền
đúng
/
1. ( A + B ) = A^2 + 2.A.B +B^2
2.(A - B ) = A^2 - 2.A.B +B^2
3. A^2 - B^2 = ( A + B ) . (A - B )
4. ( A + B ) ^3 = A^3 + 3A^2B + 3AB^2 +B^3
5. ( A - B ) ^3 = A^3 - 3A^2B + 3AB^2 +-B^3
6.A^3 + B^3 = (A + B) . (A^2 - AB +B^2 )
7. A^3 - B^3 = (A - B) . (A^2 - AB +B^2 )
(a + b)2 = a2 + ab + b2
(a - b)2 = a2 - ab + b2
a2 - b2 = (a - b)(a+ b)
(a + b)3 = a3 + 3a2b + 3ab2 + b3
(a - b)3 = a3 - 3a2b + 3ab2 - b3
a3 + b3 = (a + b)( a2 - ab + b2)
a3 - b3 = (a - b)(a2 + ab + b2)
\(\left(a+b\right)^2=a^2+2ab+b^2\)
\(\left(a-b\right)^2=a^2-2ab+b^2\)
\(a^3+b^3=\left(a+b\right)\left(a^2-ab+b^2\right)\)
\(a^2-b^2=\left(a-b\right)\left(a+b\right)\)
\(\left(a+b\right)^3=a^3+3a^2b+3ab^2+b^3\)
\(\left(a-b\right)^3=a^3-3a^2b+3ab^2-b^3\)
\(a^3-b^3=\left(a-b\right)\left(a^2+ab+b^2\right)\)
(a+b)2 =a2+2ab+b2
(a-b)2 =a2-2ab+b2
a2-b2=(a+b)(a-b)
(a+b)3=a3+3a2b+3ab2+b3
(a-b)3=a3-3a2b+ab2-b3
a3+b3=(a+b)(a2-ab+b2)
a3-b3=(a-b)(a2+ab+b2)
Xong rùi đó bn , nhớ k cho mình nha
em cũng không biết because em lp 5