Question

(x-3) (5+x)-(4-x) (3+x)

Answer 1

5x+x'-15-3x-12-4x+3x+x'=2x'+x-27

Answer 2

Let's simplify the given expression:

First, we can expand the expressions inside each parentheses using the distributive property:

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

(4-x)(3+x) = 3(4-x) + x(4-x) = 12 - 3x + 4x - x^2 = -x^2 + x + 12

Now, we can substitute these expressions back into the original expression and simplify:

(x-3)(5+x) - (4-x)(3+x) = (x^2 + 2x - 15) - (-x^2 + x + 12) = x^2 + 2x - 15 + x^2 - x - 12 = 2x^2 + x - 27

Therefore, (x-3)(5+x) - (4-x)(3+x) simplifies to 2x^2 + x - 27.