Question

Which is a correct expansion of (4x + 1)(2x² - 2)?

A. 4x 2x² + 4x
B. 4x 2x2 + 4x
C. 4x 2x² + 4x
(-2) +1.2x²+1 (-2)
(-2) +1.4x+1 (-2)
(1) + 1.2x² +1 (-2)

Answer 1

`(4x+1)(2x^2 -2) \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{llll} 2x^2-2\\ * ~~ 4x\\\cline{1-1} 8x^3-8x \end{array}~~ + ~~ \begin{array}{llll} 2x^2-2\\ * ~~ 1\\\cline{1-1} 2x^2-2 \end{array}\qquad \implies \boxed{8x^3+2x^2-8x-2}`