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Question
अवयव पाडा.
x3 + 64y3
Sum
Solution
x3 + 64y3
= x3 + 43y3
= x3 + (4y)3
आपणांस माहीत आहे की,
a3 + b3 = (a + b)(a2 − ab + b2)
येथे, a = x, b = 4y
∴ x3 + (4y)3 = (x + 4y)[x2 − x × 4y + (4y)2]
= (x + 4y)[x2 − 4xy + 42y2]
= (x + 4y)(x2 − 4xy + 16y2)
∴ x3 + 64y3 = (x + 4y)(x2 − 4xy + 16y2)
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