Question

divide 360x⁷yz⁴(x² - 9x - 36) by 60x⁴z⁴(x + 3)

Answer 1

Answer:

6x⁵y−54x⁴y−216x³y  / x+3

Step-by-step explanation:

360x⁷yz⁴(x²−9x−36)  / 60x⁴z⁴(x+3)

=  360x⁹yz⁴ − 3240x⁸yz⁴ − 12960x⁷yz⁴  / 60x⁵z⁴ + 180x⁴z⁴

=  360x⁵y − 3240x⁴y − 12960x³y  / 60x + 180

=  6x⁵y − 54x⁴y − 216x³y  / x+3

Answer 2

Step-by-step explanation:

$\frac{360 {x}^{7} y {z}^{4} ( {x}^{2} - 9x - 36)}{60 {x}^{4} {z}^{4}(x + 3) } \\ = \frac{6 {x}^{3}y \: ( {x}^{2} - (12 - 3)x - 36) }{(x + 3)} \\ = \frac{6 {x}^{3}y( {x}^{2} - 12x + 3x - 36) }{(x + 3)} \\ = \frac{6 {x}^{3}y(x(x - 12) + 3(x - 12)) }{(x + 3)} \\ = \frac{6 {x}^{3}y(x - 12)(x + 3) }{(x + 3)} \\ = 6 {x}^{3} y(x - 12) \: \: or \: \\ = 6 {x}^{4} y - 72 {x}^{3} y$

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