Advertisements
Advertisements
प्रश्न
Expand the following, using suitable identity:
(3a – 7b – c)2
उत्तर
It is known that,
(x + y + z)2 = x2 + y2 + z2 + 2xy + 2yz + 2zx
(3a – 7b – c)2 = (3a)2 + (–7b)2 + (–c)2 + 2(3a)(–7b) + 2(–7b)(–c) + 2(–c)(3a)
= 9a2 + 49b2 + c2 – 42ab + 14bc – 6ac
APPEARS IN
संबंधित प्रश्न
Factorise the following:
8a3 – b3 – 12a2b + 6ab2
Simplify the following products:
`(x^3 - 3x^2 - x)(x^2 - 3x + 1)`
Find the cube of the following binomials expression :
\[2x + \frac{3}{x}\]
Evaluate of the following:
1043 + 963
Find the following product:
\[\left( 3 + \frac{5}{x} \right) \left( 9 - \frac{15}{x} + \frac{25}{x^2} \right)\]
If \[x + \frac{1}{x}\] 4, then \[x^4 + \frac{1}{x^4} =\]
If a − b = −8 and ab = −12, then a3 − b3 =
If \[x^4 + \frac{1}{x^4} = 623\] then \[x + \frac{1}{x} =\]
If a + b + c = 0, then \[\frac{a^2}{bc} + \frac{b^2}{ca} + \frac{c^2}{ab} =\]
Evalute : `( 7/8x + 4/5y)^2`
Use the direct method to evaluate the following products :
(3x – 2y) (2x + y)
Use the direct method to evaluate :
`("z"-2/3)("z"+2/3)`
Use the direct method to evaluate :
(0.5−2a) (0.5+2a)
Evaluate: (5xy − 7) (7xy + 9)
Expand the following:
(a + 4) (a + 7)
Expand the following:
(x - 5) (x - 4)
Expand the following:
`(2"a" + 1/(2"a"))^2`
If `x + (1)/x = 3`; find `x^2 + (1)/x^2`
Simplify:
(2x - 4y + 7)(2x + 4y + 7)
Give possible expressions for the length and breadth of the rectangle whose area is given by 4a2 + 4a – 3.