Question

Simplify : (3x + 2)(2x + 3) - (4x - 3)(2x - 1)
OR

Multiply : (2x^2 - 4x + 5) by (x^2 + 3x - 7)

Answer 1

Answer:

Answer:

=−2x²+23x+3

Step-by-step explanation:

Let's simplify step-by-step.

(3x+2)(2x+3)−(4x−3)(2x−1)

Distribute:

=(3x)(2x)+(3x)(3)+(2)(2x)+(2)(3)+−8x2+10x+−3

=6x²+9x+4x+6+−8x²+10x+−3

Combine Like Terms:

=6x²+9x+4x+6+−8x²+10x+−3

=(6x²+−8x²)+(9x+4x+10x)+(6+−3)

=−2x²+23x+3

Answer 2

Step-by-step explanation:

(3x+2)(2x+3)-(4x-3)(2x-1)

(3x*2x+3x*3+2*2x+2*3) - (4x*2x+4x*-1+(-3)*2x-3*-1)

(6x2+9x+4x+6) - (8x2-4x-6x+3)

(6x2+13x+6)-(8x2-10x+3)

(6x2-8x2+13x+10x+6-3)

-2x2+23x+3

-(2x2-23x-3)=0

2x2-23x-3=0