Answer
$x^{4}$ + 2$x^{3}$ - 47$x^{2}$ + 12x + 32
Work Step by Step
($x^{2}$ - 5x - 4)($x^{2}$ + 7x - 8) =
Use the distributive property.
$x^{2}$($x^{2}$) +$x^{2}$(7x) +$x^{2}$(-8) -5x($x^{2}$) -5x(7x) -5x(-8) -4($x^{2}$) -4(7x) -4(-8) =
$x^{4}$ + 7$x^{3}$ - 8$x^{2}$ - 5$x^{3}$ - 35$x^{2}$ + 40x - 4$x^{2}$ - 28x + 32=
Simplify.
$x^{4}$ + 2$x^{3}$ - 47$x^{2}$ + 12x + 32
