Advertisements
Advertisements
प्रश्न
Evaluate the following product without multiplying directly:
104 × 96
Advertisements
उत्तर
104 × 96 = (100 + 4) (100 − 4)
= (100)2 − (4)2 ...[(x + y)(x − y) = x2 − y2]
= 10000 − 16
= 9984
APPEARS IN
संबंधित प्रश्न
Use suitable identity to find the following product:
(x + 4) (x + 10)
Expand the following, using suitable identity:
`[1/4a-1/2b+1]^2`
Write the following cube in expanded form:
(2x + 1)3
Write the following cube in expanded form:
`[x-2/3y]^3`
Simplify the following: 175 x 175 x 2 x 175 x 25 x 25 x 25
Evaluate of the following:
1113 − 893
If \[x + \frac{1}{x} = 3\], calculate \[x^2 + \frac{1}{x^2}, x^3 + \frac{1}{x^3}\] and \[x^4 + \frac{1}{x^4}\]
If `x^4 + 1/x^4 = 194, "find" x^3 + 1/x^3`
If x = 3 and y = − 1, find the values of the following using in identify:
\[\left( \frac{3}{x} - \frac{x}{3} \right) \left( \frac{x^2}{9} + \frac{9}{x^2} + 1 \right)\]
Evaluate:
253 − 753 + 503
If a + b + c = 9 and ab + bc + ca = 23, then a2 + b2 + c2 =
75 × 75 + 2 × 75 × 25 + 25 × 25 is equal to
Find the square of : 3a - 4b
Evaluate: (2a + 0.5) (7a − 0.3)
Evaluate: (6 − 5xy) (6 + 5xy)
Expand the following:
`(2"a" + 1/(2"a"))^2`
If a2 - 3a - 1 = 0 and a ≠ 0, find : `"a" + (1)/"a"`
Simplify:
(4x + 5y)2 + (4x - 5y)2
Using suitable identity, evaluate the following:
9992
