Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
4a2b2 + 36a2b3 + 6ab4
= 2ab2(2a + 18ab + 3b2)
4a2b3 - 6a3b2
= 2a2b2(2b - 3a)
a^3+b^3+6ab-8=(a + b - 2) (a² - a b + 2a + b² + 2b + 4)
\(A=9a^2-6ab+b^2-1\)
\(A=\left(3a-b\right)^2-1\)
\(A=\left(3a-b-1\right)\left(3a-b+1\right)\)
P/s haphuong
\(9a^2b+6ab^2+b^3-6ab-2b^2\)
\(=b\left(9a^2+6ab+b^2-6a-2b\right)\)
\(=b\left[\left(3a+b\right)^2-2\left(3a+b\right)\right]\)
\(=b\left(3a+b\right)\left(3a+b-2\right)\)
\(=b\left(9a^2+6ab+b^2\right)-2b\left(3a+b\right)\)
\(=b\left(3a+b\right)^2-2b\left(3a+b\right)\)
\(=b\left(3a+b\right)\left(3a+b-2\right)\)
\(9a^2b+6ab^2+b^3-6ab-2b^2\)
\(=b\left(9a^2+6ab+b^2-6a-2b\right)\)
\(=b\left[\left(3a+b\right)^2-2\left(3a+b\right)\right]\)
\(=b\left(3a+b\right)\left(3a+b-2\right)\)
a) 3a2-6ab+3b2-12c2
=3.(a2-2ab+b2-4c2)
=3.[(a-b)2-4c2]
=3.(a-b-2c)(a-b+2c)
a)\(2a^2-3ab+b^2\)
=\(a^2+a^2-2ab-ab+b^2\)
=\(\left(a-b\right)^2+a\left(a-b\right)\)
=\(\left(a-b\right)\left(2a-b\right)\)
b)\(x^2-7x-30\)
=\(x^2-10x+3x-30\)
=\(x\left(x-10\right)+3\left(x-10\right)\)
=\(\left(x-10\right)\left(x+3\right)\)
c)\(6a^2-5ab-6b^2\)
=\(6a^2-9ab+4ab-6b^2\)
=\(3a\left(2a-3b\right)+2b\left(2a-3b\right)\)
=\(\left(2a-3b\right)\left(3a+2b\right)\)
d)\(a^4+a^2+1\)
=\(a^4+2a^2-a^2+1\)
=\(\left(a^2+1\right)^2-a^2\)
=\(\left(a^2+1-a\right)\left(a^2+1+a\right)\)
e)\(x^3+6x^2+11x+6\)
=\(x\left(x^2+6x+9+2\right)+6\)
\(=x\left(\left(x+3\right)^2+2\right)+6\)
=\(x\left(x+3\right)^2+2x+6\)
=\(x\left(x+3\right)^2+2\left(x+3\right)\)
=\(\left(x+3\right)\left(x^2+3x+2\right)\)