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प्रश्न
Factorise the following, using the identity a2 + 2ab + b2 = (a + b)2.
2x3 + 24x2 + 72x
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उत्तर
We have,
2x3 + 24x2 + 72x
= 2x(x2 + 12x + 36)
= 2x(x2 + 2 × 6 × x + 62)
= 2x(x + 6)2
= 2x(x + 6)(x + 6)
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