what is the simplest form of the expression 2x(x - 6) - 7x² - (13x - 3)?\n\na. 5x² - 25x + 3\n\nb. -5x²…

what is the simplest form of the expression 2x(x - 6) - 7x² - (13x - 3)?\n\na. 5x² - 25x + 3\n\nb. -5x² - 25x + 3\n\nc. -5x² + x + 3\n\nd. -5x² - 25x - 3

what is the simplest form of the expression 2x(x - 6) - 7x² - (13x - 3)?\n\na. 5x² - 25x + 3\n\nb. -5x² - 25x + 3\n\nc. -5x² + x + 3\n\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 last - term

$-(13x - 3)=-13x + 3$

Step3: Substitute into the original expression

$2x(x - 6)-7x^{2}-(13x - 3)=(2x^{2}-12x)-7x^{2}-13x + 3$

Step4: Combine like - terms

$(2x^{2}-7x^{2})+(-12x-13x)+3=-5x^{2}-25x + 3$

Answer:

B. $-5x^{2}-25x + 3$