Advertisements
Advertisements
Question
Using suitable identities, evaluate the following.
105 × 95
Solution
We have,
105 × 95 = (100 + 5)(100 – 5)
= (100)2 – (5)2 ...[Using the identity, (a + b)(a – b) = a2 – b2]
= 10000 – 25
= 9975
APPEARS IN
RELATED QUESTIONS
Find the following product: \[\left( x + \frac{1}{5} \right)(x + 5)\]
Find the following product: (p2 + 16) \[\left( p^2 - \frac{1}{4} \right)\]
Simplify:
(s2t + tq2)2 – (2stq)2
Expand the following, using suitable identities.
`((4x)/5 + y/4)((4x)/5 + (3y)/4)`
Expand the following, using suitable identities.
(2x + 9)(2x – 7)
Expand the following, using suitable identities.
(7x + 5)2
Expand the following, using suitable identities.
(0.9p – 0.5q)2
Using suitable identities, evaluate the following.
(49)2
Using suitable identities, evaluate the following.
(103)2
Carry out the following division:
51x3y2z ÷ 17xyz
