Question

g)(-3x+5) (x+1) h)(4x-1/2) (2-4x) i)(5x+1) (x-3) k)(x+2) (x^2-x+1) e)(2-x)(x^2-2x+3) m)(5-x)(x^2-x-6)

Answer 1

g) \((-3x+5)(x+1)\)

\(=-3x\left(x+1\right)+5\left(x+1\right)\)

\(=-3x^2-3x+5x+5\)

\(=-3x^2+2x+5\)

h) \(\left(4x-\dfrac{1}{2}\right)\left(2+4x\right)\)

\(=4x\left(2+4x\right)-\dfrac{1}{2}\left(2+4x\right)\)

\(=8x+16x^2-1-2x\)

\(=16x^2+6x-1\)

i) \(\left(5x+1\right)\left(x-3\right)\)

\(=5x\left(x-3\right)+\left(x-3\right)\)

\(=5x^2-15x+x-3\)

\(=5x^2-14x-3\)

k) \(\left(x+2\right)\left(x^2-x+1\right)\)

\(=x\left(x^2-x+1\right)+2\left(x^2-x+1\right)\)

\(=x^3-x^2+x+2x^2-2x+2\)

\(=x^3-3x^2-x+2\)

e) \(\left(2-x\right)\left(x^2-2x+3\right)\)

\(=2\left(x^2-2x+3\right)-x\left(x^2-2x+3\right)\)

\(=2x^2-4x+6-x^3+2x^2-3x\)

\(=-x^3+4x^2-7x+6\)

m) \(\left(5-x\right)\left(x^2-x-6\right)\)

\(=5\left(x^2-x-6\right)-x\left(x^2-x-6\right)\)

\(=5x^2-5x-30-x^3+x^2+6x\)

\(=-x^3+6x^2+x-30\)

Answer 2

g: (-3x+5)(x+1)

=-3x^2-3x+5x+5

=-3x^2+2x+5

h: (4x-1/2)(2-4x)

=8x-16x^2-1+8x

=-16x^2+16x-1

i; =5x^2-15x+x-3

=5x^2-14x-3

k: =x^3-x^2+x+2x^2-2x+2

=x^2+x^2-x+2

e: =2x^2-4x+6-x^3+2x^2-3x

=-x^3+4x^2-7x+6

m: =5x^2-5x-30-x^3+x^2+6x

=-x^3+6x^2+x-30