Advertisements
Advertisements
Question
Using suitable identities, evaluate the following.
47 × 53
Solution
We have,
47 × 53 = (50 – 3)(50 + 3)
= (50)2 – (3)2 ...[Using the identity, (a – b)(a + b) = a2 – b2]
= 2500 – 9
= 2491
APPEARS IN
RELATED QUESTIONS
Simplify the following using the formula: (a − b)(a + b) = a2 − b2: 9.8 × 10.2
Using algebraic identity, find the coefficients of x2, x and constant term without actual expansion
(x + 5)(x + 6)(x + 7)
Evaluate the following by using identities:
10013
Simplify: (x – 2y + 3z) (x2 + 4y2 + 9z2 + 2xy + 6yz – 3xz)
Simplify:
(3x + 2y)2 + (3x – 2y)2
Simplify:
(a – b) (a2 + b2 + ab) – (a + b) (a2 + b2 – ab)
Expand the following, using suitable identities.
(0.9p – 0.5q)2
Using suitable identities, evaluate the following.
(103)2
Using suitable identities, evaluate the following.
105 × 95
Carry out the following division:
51x3y2z ÷ 17xyz