Which expression is equivalent to [tex]2(x-4)(4x^2-8x+7)[/tex]?

A. \(-24x^2 + 48x - 42\)
B. \(-24x^3 + 48x^2 - 42x\)
C. \(8x^3 - 48x^2 + 78x - 56\)
D. \(8x^3 + 16x^2 - 50x + 56\)

To simplify the expression, follow the distributive property. Start by multiplying 2 with each term inside the first parenthesis, and distribute 2 to each term inside the second parenthesis. Then, combine like terms and simplify the expression.

2(x-4)(4x2-8x+7) = 2(x)(4x2-8x+7) - 2(4)(4x2-8x+7) = 8x3 - 16x2 + 14x - 24x2 + 48x - 42 = -24x2+48x-42

Which expression is equivalent to [tex]2(x-4)(4x^2-8x+7)[/tex]?A. \(-24x^2 + 48x - 42\) B. \(-24x^3 + 48x^2 - 42x\) C. \(8x^3 - 48x^2 + 78x - 56\) D. \(8x^3 + 16x^2 - 50x + 56\)

Answer :

Final answer:

Explanation:

Other Questions

Which expression is equivalent to [tex]2(x-4)(4x^2-8x+7)[/tex]?

A. \(-24x^2 + 48x - 42\)
B. \(-24x^3 + 48x^2 - 42x\)
C. \(8x^3 - 48x^2 + 78x - 56\)
D. \(8x^3 + 16x^2 - 50x + 56\)