Question

Algebraic Manipulation: Simplify 15x³ (y-z)² ÷ 10x⁻²(y²-z²)

Thank you!

Answer 1

`=(3x^(5)(y-z))/(2(y+z))`

Explanation:

`(15x^3 (y-z)^2)/(10x^(-2)(y^2-z^2))` We need to solve this equation.

We know (x^2-y^2) = (x-y) (x+y)

Using the above formula, and taking 5 common:

`=(3x^3 (y-z)^2)/(2x^(-2)(y^2-z^2))\\=(3x^(3+2) (y-z)^2)/(2(y^2-z^2))\\=(3x^(5) (y-z)(y-z))/(2(y-z)(y+z))\\=(3x^(5)(y-z))/(2(y+z))`