Advertisements
Advertisements
प्रश्न
Evaluate the following: 35 × 37
Advertisements
उत्तर
Here, we will use the identity \[\left( x + a \right)\left( x + b \right) = x^2 + \left( a + b \right)x + ab\]
\[35 \times 37\]
\[ = \left( 30 + 5 \right)\left( 30 + 7 \right)\]
\[ = {30}^2 + \left( 5 + 7 \right)30 + 5 \times 7\]
\[ = 900 + 360 + 35\]
\[ = 1295\]
APPEARS IN
संबंधित प्रश्न
Show that `(4pq + 3q)^2 - (4pq - 3q)^2 = 48pq^2`
Simplify the following using the formula: (a − b)(a + b) = a2 − b2: (79)2 − (69)2
Simplify the following using the identities: \[\frac{{58}^2 - {42}^2}{16}\]
Simplify the following using the identities: 1.73 × 1.73 − 0.27 × 0.27
Evaluate the following: 103 × 96
Expand the following, using suitable identities.
(x2y – xy2)2
Expand the following, using suitable identities.
`(4/5p + 5/3q)^2`
Expand the following, using suitable identities.
(x + 3)(x + 7)
Carry out the following division:
51x3y2z ÷ 17xyz
Carry out the following division:
17ab2c3 ÷ (–abc2)
