Question

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

Answer 1

Answer:

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

Step-by-step 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