(a+b)^3=a^3+b^3+3ab(a+b) Here, a=2x and b=3 ⇒ (2x+3)^2=(2x)^3+(3)^3+3(2x)(3)(2x+3) #160; #160; #160; #160; #160; #160; ...

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Algebraic Identities

Expand 2x+3...

Question

Expand ${(2 x + 3)}^{3}$

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Solution

$(a + b)^{3} = a^{3} + b^{3} + 3 a b (a + b)$

Here, $a = 2 x$ and $b = 3$

$\Rightarrow (2 x + 3)^{2} = (2 x)^{3} + (3)^{3} + 3 (2 x) (3) (2 x + 3)$

$= 8 x^{3} + 27 + 18 x (2 x + 3)$

$= 8 x^{3} + 27 + 36 x^{2} + 54 x$

$= 8 x^{3} + 36 x^{2} + 54 x + 27$ .

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