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 }}}`