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bài 1, bạn tự làm nhé đặt chia đi bạn
bài 2
a,\(\left(x^2-2xy+y^2\right)+2\left(x-y\right)=\left(x-y\right)^2+2\left(x-y\right)=\left(x-y\right)\left(x-y+2\right)\)
\(b,=a^2-2a-5a+10=a\left(a-2\right)-5\left(a-2\right)=\left(a-2\right)\left(a-5\right)\)
1a) 8xy(8-12x+6x*x-x*x*x)
chú thích x*x là x bình phương
x*x*x là x lập phương
2. a) 3x (x-5)- (x-1)(2+3x)=30
3x*x-15x-2x-3x*x+2+3x=30
14x=28
x=2
b) (x+2)(x-3)-(x-2)(x+5)=0
x*x-3x+2x-6-x*x-5x+2x+10=0
2x=-4
x=-2
còn mấy bài còn lại mình không biết
a) \(2x^2\left\{x^2+5x+6\right\}\)=\(2x^4+10x^3+12x^2\)
b) \(15x^2y^4:10x^2y\)=\(\frac{3}{2}y^3\)
c) \(\left\{16x^3y^2+20x^2y^3-8xy\right\}:4xy\)=\(4x^2y+5xy^2-2\)
1.
\(3x^2-3xy+5x-5y\)
\(=\left(3x^2-3xy\right)+\left(5x-5y\right)\)
\(=3x.\left(x-y\right)+5.\left(x-y\right)\)
\(=\left(x-y\right).\left(3x+5\right)\)
2.
\(x^2+y^2+2xy-x-y\)
\(=\left(x^2+2xy+y^2\right)-\left(x+y\right)\)
\(=\left(x+y\right)^2-\left(x+y\right)\)
\(=\left(x+y\right).\left(x+y-1\right)\)
3.
\(x^2-xy+x-y\)
\(=\left(x^2-xy\right)+\left(x-y\right)\)
\(=x.\left(x-y\right)+\left(x-y\right)\)
\(=\left(x-y\right).\left(x+1\right)\)
4.
\(x^2-2xy+y^2-z^2+2zt-t^2\)
\(=\left(x^2-2xy+y^2\right)-\left(z^2-2zt+t^2\right)\)
\(=\left(x-y\right)^2-\left(z-t\right)^2\)
\(=\left[x-y-\left(z-t\right)\right].\left[x-y+\left(z-t\right)\right]\)
\(=\left(x-y-z+t\right).\left(x-y+z-t\right)\)
6.
\(2x^2-8x+6\)
\(=2.\left(x^2-4x+3\right)\)
\(=2.\left(x^2-3x-x+3\right)\)
\(=2.\left[\left(x^2-3x\right)-\left(x-3\right)\right]\)
\(=2.\left[x.\left(x-3\right)-\left(x-3\right)\right]\)
\(=2.\left(x-3\right).\left(x-1\right)\)
Chúc bạn học tốt!
\(y^2\left(1+y\right)+\left(y+1\right)+1\)
\(\Leftrightarrow\left(y+1\right)\left(y^2+1\right)+1\)
vay \(\left(y^2+y^3+2+y\right)\div\left(y^2+1\right)\)dư 1
\(\)
a) x2 + 6x + 9 = x2 + 2 . x . 3 + 32 = (x + 3)2
b) 10x – 25 – x2 = -(-10x + 25 +x2) = -(25 – 10x + x2)
= -(52 – 2 . 5 . x – x2) = -(5 – x)2
c) 8x3 - 1/8 = (2x)3 – (1/2)3 = (2x - 1/2)[(2x)2 + 2x . 12 + (1/2)2]
= (2x - 1/2)(4x2 + x + 1/4)
d)1/25x2 – 64y2 = (1/5x)2(1/5x)2- (8y)2 = (1/5x + 8y)(1/5x - 8y)
a,\(xy+3x-7y-21\)
\(=x\left(y+3\right)-7\left(y+3\right)\)
\(=\left(y+3\right)\left(x-7\right)\)
\(b,2xy-15-6x+5y\)
\(=\left(2xy-6x\right)+\left(-15+5y\right)\)
\(=2x\left(y-3\right)-5\left(3-y\right)\)
\(=2x\left(y-3\right)+5\left(y-3\right)\)
\(=\left(y-3\right)\left(2x+5\right)\)