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

User Vincenth
by
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1 Answer

5 votes

Answer:


\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

User Clint Bugs
by
7.8k points

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