Simplify- 8 x3-27 y3-4 x2-9 y2

The correct option is B 4x^2 + 9y^2+6xy/2x+3y 8x^3 27y^3/4x^2 9y^2 = (2x)^3 (3y^3)/(2x)^2 (3y)^2 = (2x 3y ) [ (2x)^2+(3y)^2+2x.3y ]/(2x 3y) (2x+3y) = ( ...

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Byju's Answer

Standard IX

Mathematics

(x±a)(x±b) = x²±(a+b)x+ab.

Simplify: 8 x...

Question

Simplify: $\frac{8 x^{3} - 27 y^{3}}{4 x^{2} - 9 y^{2}}$

$\frac{4 x^{2} + 9 y^{2} + 6 x y}{2 x - 3 y}$

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$\frac{4 x^{2} + 9 y^{2} + 6 x y}{2 x + 3 y}$

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$\frac{4 x^{2} + 9 y^{2} - 6 x y}{2 x - 3 y}$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$\frac{4 x^{2} + 9 y^{2} - 6 x y}{2 x + 3 y}$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

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Solution

The correct option is B
$\frac{4 x^{2} + 9 y^{2} + 6 x y}{2 x + 3 y}$

$\frac{8 x^{3} - 27 y^{3}}{4 x^{2} - 9 y^{2}} = \frac{(2 x)^{3} - (3 y^{3})}{(2 x)^{2} - (3 y)^{2}} = \frac{(2 x - 3 y) [(2 x)^{2} + (3 y)^{2} + 2 x .3 y]}{(2 x - 3 y) (2 x + 3 y)}$

$= \frac{(4 x^{2} + 9 y^{2} + 6 x y)}{(2 x + 3 y)}$

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Similar questions

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\frac{x^{2} - 9 y^{2}}{x^{3} - 27 y^{3}}

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Simplify: 8x3−27y34x2−9y2

The correct option is B 4x2+9y2+6xy2x+3y 8x3−27y34x2−9y2=(2x)3−(3y3)(2x)2−(3y)2=(2x−3y)[(2x)2+(3y)2+2x.3y](2x−3y)(2x+3y) =(4x2+9y2+6xy)(2x+3y)

Simplify: $\frac{8 x^{3} - 27 y^{3}}{4 x^{2} - 9 y^{2}}$