Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
\(3ax-2bx-6ay+4by=\) \(\left(3ax-6ay\right)-\left(2bx-4by\right)\)
\(=3a\left(x-2y\right)-2b\left(x-2y\right)\)
\(=\left(3a-2b\right)\left(x-2y\right)\)
\(ma-mb+na-nb-pa+pb=\) \(m\left(a-b\right)+n\left(a-b\right)-p\left(a-b\right)\)
\(=\left(m+n-p\right)\left(a-b\right)\)
a, (4x+4y)+(by+bx)= 4(x+y)+b(x+y)=(x+y)(4+b)
b, ( 2x2+xy)-(2x+y)= x(2x+y)-(2x+y)=(2x+y)(x-1)
c, (3ax-2bx)-(6ay-4by)= x(3a-2b)-2y(3a-2b)=(3a-2b)(x-2y)
d, (ma+na-pa)-(mb+nb-pb)= a(m+n+p)-b(m+n-p)=(m+n+p)(a-b)
a) 4x+bx+by+4y b)2x2+xy-2x-y c)3ax-2bx-6ay+4by d)ma-mb+na-nb-pa+pb
=x(4+b)+y(b+4) =2x(x-1)+y(x-1) =3ax-6ay-2bx+4by =m(a-b)+n(a-b)-p(a-b)
=(x+y)(b+4) =(x-1)(2x+1) =3a(x-2y)-2b(x-2y)=(3a-2b)(x-2y) =(a-b)(m+n-p)
a) 4x2 +4x+3=4x2 +4x+4-1=(2x-2)2 - 1=(2x-2-1)(2x-2+1)=(2x-3)(2x-1)
a) \(4x^2+4x+3\)
\(=\left(4x^2+4x+4\right)-1\)
\(=\left(2x+2\right)^2-1^2\)
\(=\left(2x+2+1\right)\left(2x+2-1\right)\)
\(\left(2x+3\right)\left(2x+1\right)\)
c) \(x^2-a^2+2ab-b^2\)
\(=x^2-\left(a-b\right)^2\)
\(=\left(x+a-b\right)\left(x-a+b\right)\)
\(2x^2-3ax-9a^2\)
\(=2x^2-6ax+3ax-9a^2\)
\(=2x\left(x-3a\right)+3\left(x-3a\right)\)
\(=\left(x-3a\right)\left(2x+a\right)\)
\(2x^2-17xy-9y^2\)
\(=2x^2+xy-18xy-9y^2\)
\(=2x\left(2x+y\right)-9y\left(2x+y\right)\)
\(=\left(2x+y\right)\left(2x-9y\right)\)
c/ Ta có:
\(x^2-3xy+x-3y\)
\(=x^2+x-3xy-3y\)
\(=x\left(x+1\right)-3y\left(x+1\right)\)
\(=\left(x+1\right)\left(x-3y\right)\)
d/ Ta có:
\(x^3-x^2-5x+125\)
\(=x^3+5x^2-6x^2-30x+25x+125\)
\(=x^2\left(x+5\right)-6x\left(x+5\right)+25\left(x+5\right)\)
\(=\left(x+5\right)\left(x^2-6x+25\right)\)
\(x^2-3xy+x-3y\)
\(=x\left(x-3y\right)+\left(x-3y\right)\)
\(=\left(x+1\right)\left(x-3y\right)\)
\(x^3-x^2-5x+125\) k có nghiệm
\(x^3+5x^2+3x-9\)
\(=x^3-x^2+6x^2-6x+9x-9\)
\(=x^2\left(x-1\right)+6x\left(x-1\right)+9\left(x-1\right)\)
\(=\left(x-1\right)\left(x^2+6x+9\right)=\left(x-1\right)\left(x+3\right)^2\)
\(x^{16}+x^8-2\)
\(=\left(x^{16}-1\right)+\left(x^8-1\right)\)
\(=\left(x^8-1\right)\left(x^8+1\right)+\left(x^8-1\right)\)
\(=\left(x^8-1\right)\left(x^8+2\right)\)
\(=\left(x^4-1\right)\left(x^4+1\right)\left(x^8+2\right)\)
\(=\left(x-1\right)\left(x+1\right)\left(x^2+1\right)\left(x^4+1\right)\left(x^8+2\right)\)
\(c,x^3+5x^2+3x-9\)
\(=x^3+6x^2+9-x^2-6x-9\)
\(=x\left(x^2+6x^2+9\right)-\left(x^2+6x^2+9\right)\)
\(=x.\left(x+3\right)^2-\left(x+3\right)^2\)
\(=\left(x+3\right)^2\left(x-1\right)\)
\(d,x^{16}+x^8-2\)
\(=\left(x^8+2x^4+1\right)-x^4\)
\(=\left(x^4+1\right)^2-x^4\)
\(=\left(x^4+1+x^4\right)\left(x^4+1-x^4\right)\)
\(\left(ab+1\right)^2-\left(a+b\right)^2=\left(ab+1+a+b\right)\left(ab+1-a-b\right).\)
\(=\left(a+1\right)\left(b+1\right)\left(a-1\right)\left(b-1\right)\)
\\(x^2-2x-4y^2-4y=\left(x^2-2x+1\right)-\left(4y^2+4y+1\right)=\left(x-1\right)^2-\left(2y+1\right)^2\)
\(=\left(x+1+2y+1\right)\left(x+1-2y-1\right)=\left(x+2y+2\right)\left(x-2y\right)\)
d) \(2x^2-3x-27\)
\(=\left(2x^2+6x\right)-\left(9x+27\right)\)
\(=2x\left(x+3\right)-9\left(x+3\right)\)
\(=\left(2x-9\right)\left(x+3\right)\)
e) \(2x^2-5xy-3y^2\)
\(=\left(2x^2+xy\right)-\left(6xy+3y^2\right)\)
\(=2x\left(x+y\right)-3y\left(x+y\right)\)
\(=\left(2x-3y\right)\left(x+y\right)\)
c) 3ax - 2bx - 6ay + 4by
= 3a(x - 2y) - 2b(x - 2y)
= (3a - 2b)(x - 2y)
d) ma - mb + na - nb + pa - pb
= m(a - b) + n(a - b) + p(a - b)
= (m + n + p)(a - b)