Advertisements
Advertisements
प्रश्न
Simplify:
(x + y)3 − (x − y)3
सरल रूप दीजिए
Advertisements
उत्तर
It is known that,
a3 − b3 = (a − b)(a2 + ab + b2)
(x + y)3 − (x − y)3
(x + y)3 − (x − y)3 = {(x + y) − (x − y)}{(x + y)2 + (x + y)(x − y) + (x − y)2}
= 2y(x2 + 2xy + y2 + x2 − y2 + x2 − 2xy + y2)
= 2y (3x2 + y2)
= 2y × 3x2 + 2y × y2
= 6x2y + 2y3
shaalaa.com
क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
संबंधित प्रश्न
Simplify:
\[\frac{a^2 + 10a + 21}{a^2 + 6a - 7} \times \frac{a^2 - 1}{a + 3}\]
Factorise:
y3 − 27
Factorise:
27m3 − 216n3
Factorise:
125y3 − 1
Factorise:
343a3 − 512b3
Factorise:
64x3 − 729y3
Simplify:
p3 − (p + 1)3
Factorise: x3 - 8y3
Factorise: 27p3 - 125q3.
Factorise the following:
27x3 – 8y3
