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
Use suitable identity to find the following product:
`(y^2+3/2)(y^2-3/2)`
Write the following cube in expanded form:
`[3/2x+1]^3`
Evaluate the following using identities:
117 x 83
If \[x - \frac{1}{x} = 7\], find the value of \[x^3 - \frac{1}{x^3}\].
Find the following product:
If x = 3 and y = − 1, find the values of the following using in identify:
\[\left( \frac{x}{y} - \frac{y}{3} \right) \frac{x^2}{16} + \frac{xy}{12} + \frac{y^2}{9}\]
If x = −2 and y = 1, by using an identity find the value of the following
Evaluate:
253 − 753 + 503
The number x is 2 more than the number y. If the sum of the squares of x and y is 34, then find the product of x and y.
Use the direct method to evaluate the following products :
(b – 3) (b – 5)
Evaluate: (9 − y) (7 + y)
Evaluate: `(4/7"a"+3/4"b")(4/7"a"-3/4"b")`
Expand the following:
(2x - 5) (2x + 5) (2x- 3)
If `"p" + (1)/"p" = 6`; find : `"p"^4 + (1)/"p"^4`
If `"a" + (1)/"a" = 2`, then show that `"a"^2 + (1)/"a"^2 = "a"^3 + (1)/"a"^3 = "a"^4 + (1)/"a"^4`
Using suitable identity, evaluate the following:
101 × 102
Factorise the following:
4x2 + 20x + 25
Expand the following:
`(4 - 1/(3x))^3`
Multiply x2 + 4y2 + z2 + 2xy + xz – 2yz by (–z + x – 2y).
Prove that (a + b + c)3 – a3 – b3 – c3 = 3(a + b)(b + c)(c + a).
