Given 9(x+a)^2 4x^2 #160; ⇒ 9(x+a)^2 4x^2=9(x^2+a^2+2ax) 4x^2 ⇒ =9x^2 4x^2+9a^2+18ax=5x^2+9a^2+18ax ...

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Algebraic Identities

Expand 9x+a...

Question

Expand $9 {(x + a)}^{2} - 4 x^{2}$

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Solution

given $9 (x + a)^{2} - 4 x^{2}$

$\Rightarrow 9 (x + a)^{2} - 4 x^{2} = 9 (x^{2} + a^{2} + 2 a x) - 4 x^{2}$

$\Rightarrow= 9 x^{2} - 4 x^{2} + 9 a^{2} + 18 a x = 5 x^{2} + 9 a^{2} + 18 a x$

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