Advertisements
Advertisements
प्रश्न
Using suitable identities, evaluate the following.
52 × 53
Advertisements
उत्तर
We have,
52 × 53 = (50 + 2)(50 + 3)
= (50)2 + (2 + 3)50 + 2 × 3 ...[Using the identity, (x + a)(x + b) = x2 + (a + b)x + ab]
= 2500 + 250 + 6
= 2756
APPEARS IN
संबंधित प्रश्न
Show that (3x + 7)2 − 84x = (3x − 7)2
Show that (a - b)(a + b) + (b - c) (b + c) + (c - a) (c + a) = 0
Simplify the following using the identities: 1.73 × 1.73 − 0.27 × 0.27
Find the following product: (3x2 − 4xy) (3x2 − 3xy)
Find the following product: (y2 + 12) (y2 + 6)
Find the following product: (p2 + 16) \[\left( p^2 - \frac{1}{4} \right)\]
On dividing p(4p2 – 16) by 4p(p – 2), we get ______.
Simplify:
`(7/9 a + 9/7 b)^2 - ab`
Expand the following, using suitable identities.
(x2y – xy2)2
Expand the following, using suitable identities.
(x + 3)(x + 7)
