(2x^2+3)^4 ^4C_0 (2x^2)^4+^4C_1(2x^2)3^3+ ^4 C_2 (2x^2)^2 (3)^2+ ^4 C_3 (2x^2)^3 3+^4C_4(2x^2)^4 (3)^4 ⇒ 1(16x^8)+4.8x^6.3 + 6. 4x^4. 9+4(2x ...

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Binomial Expression

Expand 2x2+3...

Question

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$(2 x^{2} + 3)^{4}$

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Solution

$(2 x^{2} + 3)^{4}$
$^{4} C_{0} (2 x^{2})^{4} +^{4} C_{1} (2 x^{2}) 3^{3} +^{4} C_{2} (2 x^{2})^{2} (3)^{2} +$
$^{4} C_{3} (2 x^{2})^{3} 3 +^{4} C_{4} (2 x^{2})^{4} (3)^{4}$
$\Rightarrow 1 (16 x^{8}) + 4.8 x^{6} .3 + 6. 4 x^{4} . 9 + 4 (2 x^{2}) (3^{3}) + 1 (81)$
$\Rightarrow 16 x^{8} + 96 x^{6} + 216 x^{4} + 216 x^{2} + 81$

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