Advertisements
Advertisements
Question
Simplify the following products:
`(m + n/7)^3 (m - n/7)`
Advertisements
Solution
We have
`(m + n/7)^3 (m - n/7)`
`= (m + n/7)(m + n/7)(m + n/7)(m - n/7)`
`= (m + n/7)^2 ((m)^2 - (n/7)^2) ...[∵ (a + b)(a + b) = (a + b)^2 & (a + b)(a - b) + a^ - b^2 ]`
`= (m + n/7)^2 [m^2 - n^2/49]`
`∴ (m + n/7)^3(m - n/7) = (m = n/7)^2 [m^2 - n^2/49]`
APPEARS IN
RELATED QUESTIONS
Expand the following, using suitable identity:
(–2x + 5y – 3z)2
Factorise the following:
8a3 + b3 + 12a2b + 6ab2
Factorise the following:
27y3 + 125z3
if `x + 1/x = 11`, find the value of `x^2 + 1/x^2`
Write in the expanded form: `(x/y + y/z + z/x)^2`
If a2 + b2 + c2 = 16 and ab + bc + ca = 10, find the value of a + b + c.
Evaluate of the following:
(99)3
If x = 3 and y = − 1, find the values of the following using in identify:
\[\left( \frac{x}{y} - \frac{y}{3} \right) \frac{x^2}{16} + \frac{xy}{12} + \frac{y^2}{9}\]
Find the following product:
(3x − 4y + 5z) (9x2 +16y2 + 25z2 + 12xy −15zx + 20yz)
If \[x^3 + \frac{1}{x^3} = 110\], then \[x + \frac{1}{x} =\]
If the volume of a cuboid is 3x2 − 27, then its possible dimensions are
Find the square of 2a + b.
Use identities to evaluate : (502)2
Evaluate: 20.8 × 19.2
Expand the following:
(x - 5) (x - 4)
Find the squares of the following:
3p - 4q2
Find the squares of the following:
(2a + 3b - 4c)
If a2 - 3a - 1 = 0 and a ≠ 0, find : `"a"^2 - (1)/"a"^2`
Simplify:
(2x - 4y + 7)(2x + 4y + 7)
Expand the following:
(3a – 2b)3
