Advertisements
Advertisements
Question
Using suitable identities, evaluate the following.
52 × 53
Advertisements
Solution
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
RELATED QUESTIONS
Simplify the following using the formula: (a − b)(a + b) = a2 − b2: 113 × 87
Find the following product: (x + 4) (x + 7)
Find the following product: (x + 7) (x − 5)
Find the following product: (3x + 5) (3x + 11)
Find the following product: (z2 + 2) (z2 − 3)
Evaluate the following: 109 × 107
Expand the following:
(3a + 1) (3a – 2) (3a + 4)
Using algebraic identity, find the coefficients of x2, x and constant term without actual expansion
(2x + 3)(2x – 5)(2x – 6)
Multiply the following:
(3x2 + 4x – 8), (2x2 – 4x + 3)
Simplify:
(2.5m + 1.5q)2 + (2.5m – 1.5q)2
