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
Expand the following, using suitable identity:
(3a – 7b – c)2
Verify:
x3 – y3 = (x – y) (x2 + xy + y2)
Factorise the following:
27y3 + 125z3
Simplify (a + b + c)2 + (a - b + c)2
Find the value of 4x2 + y2 + 25z2 + 4xy − 10yz − 20zx when x = 4, y = 3 and z = 2.
Simplify of the following:
(x+3)3 + (x−3)3
Simplify of the following:
(2x − 5y)3 − (2x + 5y)3
(x − y) (x + y) (x2 + y2) (x4 + y4) is equal to ______.
Use identities to evaluate : (502)2
If a - b = 0.9 and ab = 0.36; find:
(i) a + b
(ii) a2 - b2.
Use the direct method to evaluate the following products :
(y + 5)(y – 3)
Find the squares of the following:
3p - 4q2
Simplify by using formula :
(x + y - 3) (x + y + 3)
Evaluate, using (a + b)(a - b)= a2 - b2.
4.9 x 5.1
If `x^2 + (1)/x^2 = 18`; find : `x - (1)/x`
Simplify:
(2x + y)(4x2 - 2xy + y2)
Simplify:
(3a + 2b - c)(9a2 + 4b2 + c2 - 6ab + 2bc +3ca)
Factorise the following:
9x2 + 4y2 + 16z2 + 12xy – 16yz – 24xz
Factorise the following:
25x2 + 16y2 + 4z2 – 40xy + 16yz – 20xz
Give possible expressions for the length and breadth of the rectangle whose area is given by 4a2 + 4a – 3.
