Question

(x^2-5)(x+3)+(x+4)(x-x^2)

Answer 1

-x-15

Explanation:

Expand using the FOIL Method.

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Answer 2

`\implies {\blue {\boxed {\boxed {\purple {\sf {-(x+15)}}}}}}`

`\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}`

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

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

➺
`\: {x}^(3) + 3 {x}^(2) - 5x - 15 + {x}^(2) - {x}^(3) + 4x - 4 {x}^(2)`

Combining like terms, we have

➺
`\: {x}^(3) - {x}^(3) + 3 {x}^(2) + {x}^(2) - 4 {x}^(2) - 5x + 4x - 15`

➺
`\: - x - 15`

➺
`\: - (x + 15)`

`\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}`