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 identities: 178 × 178 − 22 × 22
Find the following product: (x − 3) ( x − 2)
Evaluate the following: 102 × 106
Evaluate the following: 994 × 1006
Expand the following:
(−p + 2q + 3r)2
Simplify: (2a + 3b + 4c) (4a2 + 9b2 + 16c2 – 6ab – 12bc – 8ca)
Expand the following, using suitable identities.
(x + 3)(x + 7)
Expand the following, using suitable identities.
`((2a)/3 + b/3)((2a)/3 - b/3)`
Using suitable identities, evaluate the following.
(98)2
Perform the following division:
(x3y3 + x2y3 – xy4 + xy) ÷ xy
