Question

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

Answer 1

Answer:

-x-15

Step-by-step 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

➺$\: {x}^{3} - {x}^{3} + 3 {x}^{2} + {x}^{2} - 4 {x}^{2} - 5x + 4x - 15$

➺$\: - x - 15$

➺$\: - (x + 15)$

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