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प्रश्न
Factorise:
27m3 − 216n3
योग
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उत्तर १
27m3 − 216n3
= 27 (m3 − 8n3)
= 27 (m3 − 2n3)
= 27 (m − 2n) (m2 + m × 2n + 2n2)
= 27 (m − 2n) (m2 + 2mn + 4n2)
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उत्तर २
27m3 − 216n3
= 33m3 − 63n3
= (3m)3 − (6n)3
= (3m − 6n) [(3m2) + 3m.6n + (6n)2]
= (3m − 6n) (9m2 + 18mn + 36n2)
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क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
संबंधित प्रश्न
Simplify:
\[\frac{8 x^3 - 27 y^3}{4 x^2 - 9 y^2}\]
Simplify:
\[\frac{m^2 - n^2}{\left( m + n \right)^2} \times \frac{m^2 + mn + n^2}{m^3 - n^3}\]
Simplify:
`(1 - 2x + x^2)/(1 - x^3) xx (1 + x + x^2)/(1 + x)`
Factorise:
y3 − 27
Factorise:
125y3 − 1
Factorise:
`16a^3 - 128/b^3`
Factorise: x3 - 8y3
Factorise: 27p3 - 125q3.
Simplify: (2x + 3y)3 - (2x - 3y)3
Factorise the following:
a6 – 64
