momo0528 momo0528

04-11-2018
Mathematics

contestada

Simplify.

−5x^4(−3x^2+4x−2)

A) −15x8−20x5+10x4

B) 15x8−20x4+10

C) −8x6−x5−7x4

D) 15x6−20x5+10x4

Respuesta :

04-11-2018

[tex]-5x^4(-3x^2+4x-2)\\\\\text{use distributive property and}\ a^n\cdot a^m=a^{n+m}\\\\=(-5x^4)(-3x^2)+(-5x^4)(4x)+(-5x^4)(-2)\\\\=15x^{4+2}-20x^{4+1}+10x^4\\\\=\boxed{15x^6-20x^5+10x^4}\to\boxed{D)}[/tex]

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