Advertisements
Advertisements
प्रश्न
Expand the following:
(3a – 5b – c)2
Advertisements
उत्तर
(3a – 5b – c)2
= (3a)2 + (–5b)2 + (–c)2 + 2(3a)(–5b) + 2(–5b)(–c) + 2(–c)(3a) ...[Using identity, (a + b + c)2 – a2 + b2 + c2 + 2ab + 2bc + 2ca]
= 9a2 + 25b2 + c2 – 30ab + 10bc – 6ac
APPEARS IN
संबंधित प्रश्न
Factorise the following using appropriate identity:
4y2 – 4y + 1
If 2x + 3y = 8 and xy = 2 find the value of `4x^2 + 9y^2`
Evaluate of the following:
1043 + 963
If x = 3 and y = − 1, find the values of the following using in identify:
\[\left( \frac{x}{7} + \frac{y}{3} \right) \left( \frac{x^2}{49} + \frac{y^2}{9} - \frac{xy}{21} \right)\]
If x = −2 and y = 1, by using an identity find the value of the following
If \[x^3 + \frac{1}{x^3} = 110\], then \[x + \frac{1}{x} =\]
If \[x^3 - \frac{1}{x^3} = 14\],then \[x - \frac{1}{x} =\]
If a + b + c = 9 and ab + bc + ca = 23, then a2 + b2 + c2 =
If \[x^4 + \frac{1}{x^4} = 623\] then \[x + \frac{1}{x} =\]
If a - `1/a`= 8 and a ≠ 0 find :
(i) `a + 1/a (ii) a^2 - 1/a^2`
Use the direct method to evaluate :
(xy+4) (xy−4)
Use the direct method to evaluate :
`(3/5"a"+1/2)(3/5"a"-1/2)`
Use the direct method to evaluate :
(0.5−2a) (0.5+2a)
Evaluate: (2a + 0.5) (7a − 0.3)
Simplify by using formula :
(2x + 3y) (2x - 3y)
Evaluate the following without multiplying:
(103)2
If `"a" + 1/"a" = 6;`find `"a"^2 - 1/"a"^2`
If `x + (1)/x = 3`; find `x^2 + (1)/x^2`
If 2x + 3y = 10 and xy = 5; find the value of 4x2 + 9y2
Find the following product:
`(x/2 + 2y)(x^2/4 - xy + 4y^2)`
