Advertisements
Advertisements
प्रश्न
Using suitable identities, evaluate the following.
47 × 53
मूल्यांकन
Advertisements
उत्तर
We have,
47 × 53 = (50 – 3)(50 + 3)
= (50)2 – (3)2 ...[Using the identity, (a – b)(a + b) = a2 – b2]
= 2500 – 9
= 2491
shaalaa.com
या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 7: Algebraic Expression, Identities and Factorisation - Exercise [पृष्ठ २३३]
APPEARS IN
संबंधित प्रश्न
Simplify the following using the identities: \[\frac{8 . 63 \times 8 . 63 - 1 . 37 \times 1 . 37}{0 . 726}\]
Find the value of x, if 14x = (47)2 − (33)2.
Find the following product: (x + 4) (x + 7)
Evaluate the following: 34 × 36
Expand the following:
(3a + 1) (3a – 2) (3a + 4)
If 2x – 3y – 4z = 0, then find 8x3 – 27y3 – 64z3
Simplify:
(a – b) (a2 + b2 + ab) – (a + b) (a2 + b2 – ab)
Expand the following, using suitable identities.
(x2 + y2)(x2 – y2)
Expand the following, using suitable identities.
(a2 + b2)2
Match the expressions of column I with that of column II:
| Column I | Column II |
| (1) (21x + 13y)2 | (a) 441x2 – 169y2 |
| (2) (21x – 13y)2 | (b) 441x2 + 169y2 + 546xy |
| (3) (21x – 13y)(21x + 13y) | (c) 441x2 + 169y2 – 546xy |
| (d) 441x2 – 169y2 + 546xy |
