a) 8x3 + 4x2 - y3 - y2 = (8x3 - y3) + (4x2 - y2)
b) x2 + 5x - 6
= x2 + 6x - x - 6
= x(x + 6) - (x + 6)
= (x + 6)(x - 1)
a. 8x3+4x2-y3-y2
= (2x)3+(2x)2-y3-y2
=(2x)3-y3+(2x)2-y2
=(2x-y).(2x2+2xy+y2)+(2x-y)(2x+y)
=(2x-y)(2x2+2xy+y2+2x+y)
\(a,8x^3+4x^2-y^3-y^2\)
\(=\left(8x^3-y^3\right)+\left(4x^2-y^2\right)\)
\(=\left[\left(2x\right)^3-y^3\right]+\left[\left(2x\right)^2-y^2\right]\)
\(=\left[\left(2x-y\right)\left(4x^2+2xy+y^2\right)\right]+\left[\left(2x-y\right)\left(2x+y\right)\right]\)
\(=\left(2x-y\right)\left(4x^2+2xy+y^2+2x+y\right)\)
\(b,x^2+5x-6\)
\(=x^2-x+6x-6\)
\(=x\left(x-1\right)+6\left(x-1\right)\)
\(=\left(x-1\right)\left(x+6\right)\)
b) x2+ 5x - 6
=(x2-x)+(6x-6)
=x(x-1)+6(x-1)
=(x+6)(x-1)
