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प्रश्न
Factorise:
27m3 − 216n3
बेरीज
उत्तर १
27m3 − 216n3
= 27 (m3 − 8n3)
= 27 (m3 − 2n3)
= 27 (m − 2n) (m2 + m × 2n + 2n2)
= 27 (m − 2n) (m2 + 2mn + 4n2)
27m3 − 216n3 = 27 (m − 2n) (m2 + 2mn + 4n2)
shaalaa.com
उत्तर २
27m3 − 216n3
= 33m3 − 63n3
= (3m)3 − (6n)3
= (3m − 6n) [(3m2) + (6n)2 + 3m.6n]
= (3m − 6n) (9m2 + 36n2 + 18mn)
shaalaa.com
या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
संबंधित प्रश्न
Simplify:
\[\frac{a^2 + 10a + 21}{a^2 + 6a - 7} \times \frac{a^2 - 1}{a + 3}\]
Simplify:
\[\frac{a^3 - 27}{5 a^2 - 16a + 3} \div \frac{a^2 + 3a + 9}{25 a^2 - 1}\]
Factorise:
8p3 −\[\frac{27}{p^3}\]
Simplify:
(x + y)3 − (x − y)3
Simplify:
(a + b)3 − a3 − b3
Simplify:
p3 − (p + 1)3
Factorise: 27p3 - 125q3.
Factorise: 54p3 - 250q3.
Simplify: (a - b)3 - (a3 - b3)
Simplify: (2x + 3y)3 - (2x - 3y)3
