Advertisements
Advertisements
प्रश्न
Simplify the following using the formula: (a − b)(a + b) = a2 − b2: (82)2 − (18)2
Advertisements
उत्तर
Here, we will use the identity \[(a - b)(a + b) = a^2 - b^2\]
Let us consider the following expression:
\[\left( 82 \right)^2 - \left( 18 \right)^2 \]
\[ = \left( 82 + 18 \right)\left( 82 - 18 \right)\]
\[ = 100 \times 64\]
\[ = 6400\]
APPEARS IN
संबंधित प्रश्न
Simplify the following using the formula: (a − b)(a + b) = a2 − b2: (467)2 − (33)2
Simplify the following using the formula: (a − b)(a + b) = a2 − b2: 197 × 203
Find the value of x, if 14x = (47)2 − (33)2.
If 2x + 3y = 14 and 2x − 3y = 2, find the value of xy.
[Hint: Use (2x + 3y)2 − (2x − 3y)2 = 24xy]
Find the following product: (y2 − 4) (y2 − 3)
Expand the following:
(2x + 3y + 4z)2
On dividing p(4p2 – 16) by 4p(p – 2), we get ______.
Using suitable identities, evaluate the following.
(98)2
Using suitable identities, evaluate the following.
52 × 53
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 |
