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
The product of (x + 5) and (x – 5) is ____________
Using the identity (a + b)(a – b) = a2 – b2, find the following product
(4 – mn)(mn + 4)
Simplify (5x – 3y)2 – (5x + 3y)2
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 – 25y2
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
28ay2 – 175ax2
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
25ax2 – 25a
Factorise the expression and divide them as directed:
(9x2 – 4) ÷ (3x + 2)
Factorise the expression and divide them as directed:
(x4 – 16) ÷ x3 + 2x2 + 4x + 8
Verify the following:
(a + b + c)(a2 + b2 + c2 – ab – bc – ca) = a3 + b3 + c3 – 3abc
