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a. 3x2– 7x + 2 = 3x2 – 6x – x + 2
= 3x(x -2) – (x - 2)
= (x - 2)(3x - 1)
b. a(x2 + 1) – x(a2 + 1) = ax2 + a – a2x – x
= ax(x - a) – (x - a)
= (x - a)(ax - 1)
a) \(3x^2-7x+2=3x^2-x-6x+2=x\left(3x-1\right)-2\left(3x-1\right)=\left(3x-1\right)\left(x-2\right)\)
b) \(a\left(x^2+1\right)-x\left(a^2+1\right)=\left(a^2+1\right)\left(a-x\right)\)
\(A=9a^2-6ab+b^2-1\)
\(A=\left(3a-b\right)^2-1\)
\(A=\left(3a-b-1\right)\left(3a-b+1\right)\)
P/s haphuong
\(a^3-b^3+3a^2+3ab+b^2\)
\(=\left(a-b\right)\left(a^2+ab+b^2\right)+3\left(a^2+ab+b^2\right)\)
\(=\left(a-b+3\right)\left(a^2+ab+b^2\right)\)
a) \(x^{m+2}-2x^m=x^m\left(x^2-2\right)\)
b) \(x^{k+1}-x^{k+2}=x^{k+1}\left(1-x\right)\)
a) xm+2 - 2xm = xm.x2 + 2.xm = xm( x2 - 2 ) = xm( x - √2 )( x + √2 )
b) xk+1 - xk+2 = xk+1 - xk+1.x = xk+1( 1 - x )
a,x2-4xy+4y2
=(x-2y2
b,4x4+9y2-12x2y
=(2x2)2+(3y)2-12x2y
(2x2-3y)
\(4x+by+4y+bx=\) \(\left(4x+4y\right)+\left(by+bx\right)\)
\(=\) \(4\left(x+y\right)+b\left(x+y\right)\)
\(=\left(4+b\right)\left(x+y\right)\)
\(2x^2+xy-2x-y=\) \(\left(2x^2+xy\right)-\left(2x+y\right)\)
\(=x\left(2x+y\right)-\left(2x+y\right)\)
\(=\left(x-1\right)\left(2x+y\right)\)
\(\left(a+b+c\right)^2+\left(a+b-c\right)^2-4c\)
\(=\left(a+b\right)^2+2.c\left(a+b\right)+c^2+\left(a+b\right)^2-2.c\left(a+b\right)+c^2-4c^2\)
\(=a^2+2ab+b^2+2ca+2cb+c^2+a^2+2ab+b^2-2ca-2cb+c^2-4c^2\)
\(=2a^2+4ab+2b^2-2c^2\)
\(=2\left(a^2+2ab+b^2-c^2\right)\)
\(=2\left[\left(a+b\right)^2-c^2\right]\)
\(=2\left(a+b+c\right)\left(a+b-c\right)\)
a) (a + b)2 – m2 + a + b – m = (a + b + m)(a + b – m) + (a + b – m)
= (a + b – m)(a + b + m + 1)