Question

MULTIPLY (x^2-5x)(2x^2+x-3)

Answer 1

$\bf{ (x^2-5x)(2x^2+x-3)}$

$\bf{Distribute \ the \ sum \ group. }$

• $\boldsymbol{\sf{x^{2} (2x^{2} +x-3)-5x(2x^{2} +x-3) }}$

$\bf{Expand \ the \ distribution \ of \ terms. }$

• $\boldsymbol{\sf{2x^{4}+x^{3}-3x^{2} -5x(2x^{2} +x-3) }}$
• $\boldsymbol{\sf{2x^{4}+x^{3}-3x^{2} -(10x^{3}+5x^{2} -15x) }}$

$\bf{Remove \ parentheses. }$

• $\boldsymbol{\sf{2x^{4}+x^{3}-3x^{2} -10x^{3}+5x^{2} -15x }}$

$\bf{Collect \ like \ terms. }$

• $\boldsymbol{\sf{2x^{4}+(x^{3}-10x^{3})+(-3x^{2} -5x^{2} )+15x }}$

$\bf{Simplify}$

• $\boxed{\boldsymbol{\sf{2x^{4}-9x^{3}-8x^{2} +15x }}}$