#160; #10; #10;Consider the #10;given function: #10; #10; #160; #10;=1.[(2x)^6( 3)^0]+6.[(2x)^5( 3)]+15.[(2x)^4( 30^2] #10; #10; #10 ...

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Expansion of (a ± b ± c)²

Solve: 2x-3...

Question

Solve:
${(2 x - 3)}^{6}$

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Solution

Consider the given function:

$= 1. [{(2 x)}^{6} {(- 3)}^{0}] + 6. [{(2 x)}^{5} (- 3)] + 15. [{(2 x)}^{4} (- 30^{2}]$

$+ 20. [{(2 x)}^{3} {(- 3)}^{2}] + 15. [{(2 x)}^{2} {(- 3)}^{4}]$

$+ 6. [(2 x) {(- 3)}^{5}] + 1. [{(2 x)}^{0} {(- 3)}^{6}]$

$= 64 x^{6} - 576 x^{5} + 2160 x^{4} + 4860 x^{3} - 2916 x + 729$

Hence this is the answer.

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