Advertisements
Advertisements
प्रश्न
Write the following cube in expanded form:
(2a – 3b)3
Advertisements
उत्तर
It is known that,
(a + b)3 = a3 + b3 + 3ab(a + b) and (a − b)3 = a3 − b3 − 3ab(a − b)
(2a − 3b)3 = (2a)3 − (3b)3 – (3 × 2a × 3b)(2a – 3b)
= 8a3 – 27b3 – 18ab(2a – 3b)
= 8a3 – 27b3 – 36a2b + 54ab2
APPEARS IN
संबंधित प्रश्न
Verify:
x3 + y3 = (x + y) (x2 – xy + y2)
Verify:
x3 – y3 = (x – y) (x2 + xy + y2)
If 2x + 3y = 8 and xy = 2 find the value of `4x^2 + 9y^2`
Simplify the following products:
`(1/2a - 3b)(1/2a + 3b)(1/4a^2 + 9b^2)`
Simplify: `(a + b + c)^2 - (a - b + c)^2`
Simplify `(x^2 + y^2 - z)^2 - (x^2 - y^2 + z^2)^2`
Evaluate of the following:
(103)3
Find the following product:
(3x + 2y) (9x2 − 6xy + 4y2)
Find the following product:
(3x − 4y + 5z) (9x2 +16y2 + 25z2 + 12xy −15zx + 20yz)
If a − b = 5 and ab = 12, find the value of a2 + b2
If \[3x + \frac{2}{x} = 7\] , then \[\left( 9 x^2 - \frac{4}{x^2} \right) =\]
Find the square of : 3a - 4b
Evalute : `((2x)/7 - (7y)/4)^2`
Simplify:
(7a +5b)2 - (7a - 5b)2
Simplify:
(3x + 5y + 2z)(3x - 5y + 2z)
Expand the following:
(3a – 5b – c)2
Find the following product:
(x2 – 1)(x4 + x2 + 1)
Find the value of x3 + y3 – 12xy + 64, when x + y = – 4
Multiply x2 + 4y2 + z2 + 2xy + xz – 2yz by (–z + x – 2y).
