Advertisements
Advertisements
प्रश्न
Evaluate the following: 53 × 55
Advertisements
उत्तर
Here, we will use the identity \[\left( x + a \right)\left( x + b \right) = x^2 + \left( a + b \right)x + ab\]
\[53 \times 55\]
\[ = \left( 50 + 3 \right)\left( 50 + 5 \right)\]
\[ = {50}^2 + \left( 3 + 5 \right)50 + 3 \times 5\]
\[ = 2500 + 400 + 15\]
\[ = 2915\]
संबंधित प्रश्न
Show that (a - b)(a + b) + (b - c) (b + c) + (c - a) (c + a) = 0
Simplify the following using the formula: (a − b)(a + b) = a2 − b2: (467)2 − (33)2
Find the following product: (x − 3) ( x − 2)
Evaluate the following: 109 × 107
Evaluate the following: 34 × 36
Simplify: (x – 2y + 3z) (x2 + 4y2 + 9z2 + 2xy + 6yz – 3xz)
If 2x – 3y – 4z = 0, then find 8x3 – 27y3 – 64z3
Simplify:
(2.5m + 1.5q)2 + (2.5m – 1.5q)2
Expand the following, using suitable identities.
(7x + 5)2
Using suitable identities, evaluate the following.
(995)2
