perform the indicated operation.?

Question

5x-2(5x^2-5x+5)+(7x^2+4x-4
a) -3x^2+4x-9
b) -3x^2+19x-14
c) 2x^2+14x-14
d) 17x^2+19X+14

Answer 1

5x - 2(5x² - 5x + 5) + (7x² + 4x - 4)

When multiplying by a negative number (- 2) the signs inside the parenthesis change - to + and + to -

5x - 10x² + 10x - 10 + 7x² + 4x - 4

Collect like terms

- 10x² + 7x² + 10x + 5x + 4x - 10 - 4

- 3x² + 19x - 14

The answer is (b) - 3x² + 19x - 14

- - - - - - - -s-

Answer 2

Multiply through and combine like terms:

5x-2(5x^2-5x+5)+(7x^2+4x-4)

5x - 10x² - 10x + 10 + 7x² + 4x - 4

-3x² - x + 6

So, none of the above...