Question

Multiply the polynomials. (x2 – 4) (x2 + 3x – 5)

Answer 1

`\boxed{ \bold{ \boxed{ \sf{ {x}^(4) + 3 {x}^(3) - 9 {x}^(2) - 12x + 20}}}}`

Explanation:

`\sf{( {x}^(2) - 4)( {x}^(2) + 3x - 5)}`

Use distributive property

`\dashrightarrow{ \sf{ {x}^(2) ( {x}^(2) + 3x - 5) - 4( {x}^(2) + 3x - 5)}}`

`\dashrightarrow{ \sf{ {x}^(4) + 3 {x}^(3) - 5 {x}^(2) - 4 {x}^(2) - 12x + 20}}`

Collect like terms

`\dashrightarrow{ \sf{ {x}^(4) +3 {x}^(3) - 9 {x}^(2) - 12x + 20}}`

Hope I helped!

Best regards! :D