Advertisements
Advertisements
प्रश्न
Factorise:
27m3 − 216n3
योग
Advertisements
उत्तर १
27m3 − 216n3
= 27 (m3 − 8n3)
= 27 (m3 − 2n3)
= 27 (m − 2n) (m2 + m × 2n + 2n2)
= 27 (m − 2n) (m2 + 2mn + 4n2)
shaalaa.com
उत्तर २
27m3 − 216n3
= 33m3 − 63n3
= (3m)3 − (6n)3
= (3m − 6n) [(3m2) + 3m.6n + (6n)2]
= (3m − 6n) (9m2 + 18mn + 36n2)
shaalaa.com
क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
संबंधित प्रश्न
Simplify:
\[\frac{a^2 + 10a + 21}{a^2 + 6a - 7} \times \frac{a^2 - 1}{a + 3}\]
Simplify:
\[\frac{3 x^2 - x - 2}{x^2 - 7x + 12} \div \frac{3 x^2 - 7x - 6}{x^2 - 4}\]
Factorise:
x3 − 64y3
Factorise:
8p3 −\[\frac{27}{p^3}\]
Factorise:
343a3 − 512b3
Simplify:
(x + y)3 − (x − y)3
Simplify:
p3 − (p + 1)3
Simplify: (2x + 3y)3 - (2x - 3y)3
Factorise the following:
27x3 – 8y3
Factorise the following:
a6 – 64
