Advertisements
Advertisements
प्रश्न
Using suitable identity, evaluate the following:
101 × 102
Advertisements
उत्तर
101 × 102 = (100 + 1)(100 + 2)
= (100)2 + 100(1 + 2) + 1 × 2 ...[Using identity, (x + a)(x + b) = x2 + x(a + b) + ab]
= 10000 + 300 + 2
= 10302
APPEARS IN
संबंधित प्रश्न
Evaluate the following product without multiplying directly:
104 × 96
Write the following cube in expanded form:
`[x-2/3y]^3`
Evaluate the following using suitable identity:
(102)3
Verify:
x3 + y3 = (x + y) (x2 – xy + y2)
What are the possible expressions for the dimensions of the cuboids whose volume is given below?
| Volume : 12ky2 + 8ky – 20k |
Evaluate the following using identities:
(399)2
If `x - 1/x = 3 + 2sqrt2`, find the value of `x^3 - 1/x^3`
Find the following product:
\[\left( 3 + \frac{5}{x} \right) \left( 9 - \frac{15}{x} + \frac{25}{x^2} \right)\]
If \[x - \frac{1}{x} = \frac{1}{2}\],then write the value of \[4 x^2 + \frac{4}{x^2}\]
If a + b + c = 9 and ab + bc + ca = 23, then a2 + b2 + c2 =
The product (a + b) (a − b) (a2 − ab + b2) (a2 + ab + b2) is equal to
Find the square of `(3a)/(2b) - (2b)/(3a)`.
Use the direct method to evaluate :
(3b−1) (3b+1)
Evaluate: (2a + 0.5) (7a − 0.3)
Expand the following:
(x - 3y - 2z)2
Simplify by using formula :
`("a" + 2/"a" - 1) ("a" - 2/"a" - 1)`
Simplify:
(4x + 5y)2 + (4x - 5y)2
Using suitable identity, evaluate the following:
1033
Expand the following:
(3a – 2b)3
Multiply x2 + 4y2 + z2 + 2xy + xz – 2yz by (–z + x – 2y).
