Advertisements
Advertisements
Question
Evaluate the following product without multiplying directly:
104 × 96
Advertisements
Solution
104 × 96 = (100 + 4) (100 − 4)
= (100)2 − (4)2 ...[(x + y)(x − y) = x2 − y2]
= 10000 − 16
= 9984
APPEARS IN
RELATED QUESTIONS
Expand the following, using suitable identity:
(2x – y + z)2
Factorise:
`2x^2 + y^2 + 8z^2 - 2sqrt2xy + 4sqrt2yz - 8xz`
Without actually calculating the cubes, find the value of the following:
(28)3 + (–15)3 + (–13)3
Simplify the following
`(7.83 + 7.83 - 1.17 xx 1.17)/6.66`
Evaluate of the following:
(598)3
Find the following product:
\[\left( 3 + \frac{5}{x} \right) \left( 9 - \frac{15}{x} + \frac{25}{x^2} \right)\]
Find the following product:
If x = −2 and y = 1, by using an identity find the value of the following
Find the following product:
(3x + 2y + 2z) (9x2 + 4y2 + 4z2 − 6xy − 4yz − 6zx)
(a − b)3 + (b − c)3 + (c − a)3 =
The product (a + b) (a − b) (a2 − ab + b2) (a2 + ab + b2) is equal to
If a - b = 4 and a + b = 6; find
(i) a2 + b2
(ii) ab
If a + `1/a`= 6 and a ≠ 0 find :
(i) `a - 1/a (ii) a^2 - 1/a^2`
Use the direct method to evaluate the following products :
(3x – 2y) (2x + y)
Use the direct method to evaluate :
(0.5−2a) (0.5+2a)
Evaluate: (4 − ab) (8 + ab)
Evaluate: (6 − 5xy) (6 + 5xy)
Factorise the following:
`(2x + 1/3)^2 - (x - 1/2)^2`
Factorise the following:
16x2 + 4y2 + 9z2 – 16xy – 12yz + 24xz
Find the value of x3 + y3 – 12xy + 64, when x + y = – 4
