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प्रश्न
Simplify:
(a + b)3 − a3 − b3
सोपे रूप द्या
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उत्तर
It is known that,
a3 − b3 = (a − b)(a2 + ab + b2)
(a + b)3 − a3 − b3
= (a + b)3 − (a3 + b3)
= (a + b)3 −{(a + b)(a2 + b2 − ab)}
= (a + b) {(a + b)2 − (a2 + b2 − ab)}
= (a + b) (a2 + b2 + 2ab − a2 − b2 + ab)
= (a + b) (3ab)
= 3a2b + 3ab2
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या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
संबंधित प्रश्न
Simplify:
\[\frac{m^2 - n^2}{\left( m + n \right)^2} \times \frac{m^2 + mn + n^2}{m^3 - n^3}\]
Simplify:
\[\frac{a^2 + 10a + 21}{a^2 + 6a - 7} \times \frac{a^2 - 1}{a + 3}\]
Factorise:
x3 − 64y3
Factorise:
125y3 − 1
Factorise:
`16a^3 - 128/b^3`
Simplify:
(x + y)3 − (x − y)3
Simplify:
(3xy − 2ab)3 − (3xy + 2ab)3
Factorise: 27p3 - 125q3.
Simplify: (a - b)3 - (a3 - b3)
Factorise the following:
27x3 – 8y3
