Question

गुणनखंड कीजिए:
$16 straight x to the power of 5 space minus space 144 straight x cubed$

Solution

हमें प्राप्त हैं $16 straight x to the power of 5 space equals space 16 straight x cubed space cross times space straight x squared$ and $144 straight x cubed space equals space 16 straight x cubed space cross times space 9$
∴ $16 straight x to the power of 5 space minus space 144 straight x to the power of 3 space end exponent equals space left parenthesis 16 straight x cubed right parenthesis space cross times space straight x squared space minus space left parenthesis 16 straight x cubed right parenthesis space cross times space 9$
= $16 straight x cubed left square bracket straight x squared minus 9 right square bracket$
= $16 straight x cubed left square bracket left parenthesis straight x right parenthesis squared space minus space left parenthesis 3 right parenthesis squared right square bracket$
= $16 straight x cubed left square bracket left parenthesis straight x plus 3 right parenthesis left parenthesis straight x minus 3 right parenthesis right square bracket$ [∵ a²- b² = (a-b) (a+b)]
∴ $16 straight x to the power of 5 space minus space 144 straight x cubed space equals space 16 straight x cubed left parenthesis straight x plus 3 right parenthesis space left parenthesis straight x minus 3 right parenthesis$

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