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प्रश्न
Evaluate the following: 35 × 37
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उत्तर
Here, we will use the identity \[\left( x + a \right)\left( x + b \right) = x^2 + \left( a + b \right)x + ab\]
\[35 \times 37\]
\[ = \left( 30 + 5 \right)\left( 30 + 7 \right)\]
\[ = {30}^2 + \left( 5 + 7 \right)30 + 5 \times 7\]
\[ = 900 + 360 + 35\]
\[ = 1295\]
संबंधित प्रश्न
Simplify the following using the identities: 178 × 178 − 22 × 22
Find the value of x, if 4x = (52)2 − (48)2.
Find the following product: (x + 4) (x + 7)
Find the following product: (3x − 4y) (2x − 4y)
Expand the following:
(2x + 3y + 4z)2
Multiply the following:
(2x – 2y – 3), (x + y + 5)
Simplify:
(3x + 2y)2 + (3x – 2y)2
Simplify:
(4.5a + 1.5b)2 + (4.5b + 1.5a)2
Carry out the following division:
76x3yz3 ÷ 19x2y2
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 |
