Advertisements
Advertisements
प्रश्न
Evaluate the following: 53 × 55
Advertisements
उत्तर
Here, we will use the identity \[\left( x + a \right)\left( x + b \right) = x^2 + \left( a + b \right)x + ab\]
\[53 \times 55\]
\[ = \left( 50 + 3 \right)\left( 50 + 5 \right)\]
\[ = {50}^2 + \left( 3 + 5 \right)50 + 3 \times 5\]
\[ = 2500 + 400 + 15\]
\[ = 2915\]
APPEARS IN
संबंधित प्रश्न
Simplify the following using the formula: (a − b)(a + b) = a2 − b2: (79)2 − (69)2
Find the following product: (x − 3) ( x − 2)
Expand the following:
(−p + 2q + 3r)2
Evaluate the following by using identities:
10013
Simplify:
`(7/9 a + 9/7 b)^2 - ab`
Simplify:
(b2 – 49)(b + 7) + 343
Simplify:
(pq – qr)2 + 4pq2r
Expand the following, using suitable identities.
`(4/5a + 5/4b)^2`
Expand the following, using suitable identities.
`(2/3x - 3/2y)^2`
Carry out the following division:
51x3y2z ÷ 17xyz
