Question

Answer 1

\(a,=2y\left(x+3\right)+z\left(x+3\right)=\left(2y+z\right)\left(x+3\right)\\ b,=\left(4x-x-1\right)\left(4x+x+1\right)=\left(3x-1\right)\left(5x+1\right)\\ c,=x^2+x-7x-7=\left(x+1\right)\left(x-7\right)\\ d,=x^3-x^2-x^2+x+x-1=\left(x-1\right)\left(x^2-x+1\right)\)

Answer 2

a)2xy+3z+6y+xz

=2y(x+3)+z(x+3)

=(2y+z)(x+3)

b)16x^2-(x+1)^2

=(4x−x−1)(4x+x+1)

=(3x−1)(5x+1)

c)x^2-6x-7

=x2+x−7x−7

=(x+1)(x−7)

d)x^3-2x^2+2x-1

=x^3−x^2−x^2+x+x−1

=(x−1)(x^2−x+1)