Advertisements
Advertisements
प्रश्न
Use suitable identity to find the following product:
(x + 4) (x + 10)
Advertisements
उत्तर
By using the identity (x + a)(x + b) = x2 + (a + b)x + ab,
(x + 4)(x + 10) = x2 + (4 + 10)x + 4 × 10
= x2 + 14x + 40
APPEARS IN
संबंधित प्रश्न
Expand the following, using suitable identity:
`[1/4a-1/2b+1]^2`
Write the following cube in expanded form:
(2x + 1)3
Evaluate following using identities:
991 ☓ 1009
Find the value of 4x2 + y2 + 25z2 + 4xy − 10yz − 20zx when x = 4, y = 3 and z = 2.
If 3x − 2y = 11 and xy = 12, find the value of 27x3 − 8y3
Find the following product:
(7p4 + q) (49p8 − 7p4q + q2)
If x + y + z = 8 and xy +yz +zx = 20, find the value of x3 + y3 + z3 −3xyz
If \[x + \frac{1}{x} = 2\], then \[x^3 + \frac{1}{x^3} =\]
Evalute : `( 7/8x + 4/5y)^2`
If 3x + 4y = 16 and xy = 4, find the value of 9x2 + 16y2.
Use the direct method to evaluate :
(4+5x) (4−5x)
Evaluate: (2 − z) (15 − z)
Evaluate the following without multiplying:
(1005)2
Evaluate, using (a + b)(a - b)= a2 - b2.
399 x 401
If `"a"^2 - 7"a" + 1` = 0 and a = ≠ 0, find :
`"a"^2 + (1)/"a"^2`
If a2 + b2 + c2 = 41 and a + b + c = 9; find ab + bc + ca.
Using suitable identity, evaluate the following:
101 × 102
Expand the following:
(4a – b + 2c)2
Without actually calculating the cubes, find the value of:
`(1/2)^3 + (1/3)^3 - (5/6)^3`
