Advertisements
Advertisements
प्रश्न
Evaluate the following by using identities:
983
Advertisements
उत्तर
983 = (100 – 2)3 [(a – b)3 = a3 – b3 – 3ab(a – b)]
= 1003 – (2)3 – 3(100)(2)(100 – 2)
= 1000000 – 8 – 600(98)
= 1000000 – 8 – 58800
= 1000000 – 58808
= 941192
APPEARS IN
संबंधित प्रश्न
Simplify the following using the identities: \[\frac{{58}^2 - {42}^2}{16}\]
Find the following product: (2x2 − 3) (2x2 + 5)
Find the following product: \[\left( z + \frac{3}{4} \right)\left( z + \frac{4}{3} \right)\]
Find the following product: \[\left( y^2 + \frac{5}{7} \right)\left( y^2 - \frac{14}{5} \right)\]
If (x + y + z) = 9 and (xy + yz + zx) = 26, then find the value of x2 + y2 + z2
Simplify:
(s2t + tq2)2 – (2stq)2
Expand the following, using suitable identities.
(2x – 5y)(2x – 5y)
Using suitable identities, evaluate the following.
(49)2
Using suitable identities, evaluate the following.
47 × 53
Using suitable identities, evaluate the following.
105 × 95
