Answer
$x^{4}$ - 3$x^{3}$ - 34$x^{2}$ + 33x + 63
Work Step by Step
($x^{2}$ - 6x - 7)($x^{2}$ + 3x - 9) =
Use the distributive property.
$x^{2}$($x^{2}$) +$x^{2}$(3x) +$x^{2}$(-9) -6x($x^{2}$) -6x(3x) -6x(-9) -7($x^{2}$) -7(3x) -7(-9) =
$x^{4}$ + 3$x^{3}$ - 9$x^{2}$ - 6$x^{3}$ - 18$x^{2}$ + 54x - 7$x^{2}$ - 21x + 63 =
Simplify.
$x^{4}$ - 3$x^{3}$ - 34$x^{2}$ + 33x + 63