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प्रश्न
Evaluate the following: 53 × 55
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उत्तर
Here, we will use the identity \[\left( x + a \right)\left( x + b \right) = x^2 + \left( a + b \right)x + ab\]
\[53 \times 55\]
\[ = \left( 50 + 3 \right)\left( 50 + 5 \right)\]
\[ = {50}^2 + \left( 3 + 5 \right)50 + 3 \times 5\]
\[ = 2500 + 400 + 15\]
\[ = 2915\]
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Expand the following, using suitable identities.
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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 |
