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  • 14-05-2019
  • Mathematics
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Algebraic Manipulation: Simplify 15x³ (y-z)² ÷ 10x⁻²(y²-z²)

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absor201
absor201 absor201
  • 14-05-2019

Answer:

[tex]=\frac{3x^{5}(y-z)}{2(y+z)}[/tex]

Step-by-step explanation:

[tex]\frac{15x^3 (y-z)^2}{10x^{-2}(y^2-z^2)}[/tex] We need to solve this equation.

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

Using the above formula, and taking 5 common:

[tex]=\frac{3x^3 (y-z)^2}{2x^{-2}(y^2-z^2)}\\=\frac{3x^{3+2} (y-z)^2}{2(y^2-z^2)}\\=\frac{3x^{5} (y-z)(y-z)}{2(y-z)(y+z)}\\=\frac{3x^{5}(y-z)}{2(y+z)}[/tex]

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