Advertisements
Advertisements
प्रश्न
Verify the following:
(p – q)(p2 + pq + q2) = p3 – q3
Advertisements
उत्तर
Taking L.H.S. = (p – q)(p2 + pq + q2)
= p(p2 + pq + q2) – q(p2 + pq + q2)
= p3 + p2q + pq2 – qp2 – pq2 – q3
= p3 – q3
= R.H.S.
Hence verified.
APPEARS IN
संबंधित प्रश्न
Using the identity (a + b)(a – b) = a2 – b2, find the following product
(6x + 7y)(6x – 7y)
Multiply the following:
(a2 – b2), (a2 + b2)
Using suitable identities, evaluate the following.
(69.3)2 – (30.7)2
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
4x2 – 49y2
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
49x2 – 36y2
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
`(4x^2)/9 - (9y^2)/16`
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
y4 – 625
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
9x2 – (3y + z)2
Factorise the expression and divide them as directed:
(2x3 – 12x2 + 16x) ÷ (x – 2)(x – 4)
The sum of first n natural numbers is given by the expression `n^2/2 + n/2`. Factorise this expression.
