what is the simplest form of the expression 2x(x - 6) - 7x² - (13x - 3)?\na. 5x² - 25x + 3\nb. -5x² - 25x +…
what is the simplest form of the expression 2x(x - 6) - 7x² - (13x - 3)?\na. 5x² - 25x + 3\nb. -5x² - 25x + 3\nc. -5x² + x + 3\nd. -5x² - 25x - 3
Answer
Explanation:
Step1: Expand the first - term
$2x(x - 6)=2x\times x-2x\times6 = 2x^{2}-12x$
Step2: Remove the parentheses of the whole expression
$2x(x - 6)-7x^{2}-(13x - 3)=2x^{2}-12x-7x^{2}-13x + 3$
Step3: Combine like - terms
$(2x^{2}-7x^{2})+(-12x-13x)+3=-5x^{2}-25x + 3$
Answer:
B. $-5x^{2}-25x + 3$