Advertisements
Advertisements
प्रश्न
Verify the following:
(m + n)(m2 – mn + n2) = m3 + n3
Advertisements
उत्तर
Taking L.H.S. = (m + n)(m2 – mn + n2)
= m(m2 – mn + n2) + n(m2 – mn + n2)
= m3 – m2n + mn2 + nm2 – mn2 + n3
= m3 + n3
= R.H.S.
Hence verified.
APPEARS IN
संबंधित प्रश्न
Using the identity (a + b)(a – b) = a2 – b2, find the following product
(1 + 3b)(3b – 1)
Using suitable identities, evaluate the following.
(132)2 – (68)2
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
`x^2/9 - y^2/25`
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
`y^3 - y/9`
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
`x^2/8 - y^2/18`
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
1331x3y – 11y3x
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
p5 – 16p
Factorise the expression and divide them as directed:
(x4 – 16) ÷ x3 + 2x2 + 4x + 8
Verify the following:
(a2 – b2)(a2 + b2) + (b2 – c2)(b2 + c2) + (c2 – a2) + (c2 + a2) = 0
Find the value of a, if 9a = 762 – 672
