Advertisements
Advertisements
Question
Factorise the expression and divide them as directed:
(9x2 – 4) ÷ (3x + 2)
Advertisements
Solution
We have,
`(9x^2 - 4) ÷ (3x + 2) = (9x^2 - 4)/(3x + 2)`
= `((3x)^2 - (2)^2)/(3x + 2)`
= `((3x + 2)(3x - 2))/(3x + 2)` ...[∵ a2 – b2 = (a + b)(a – b)]
= 3x – 2
APPEARS IN
RELATED QUESTIONS
Using the identity (a + b)(a – b) = a2 – b2, find the following product
(p + 2)(p – 2)
Using the identity (a + b)(a – b) = a2 – b2, find the following product
(4 – mn)(mn + 4)
Simplify (5x – 3y)2 – (5x + 3y)2
The value of (a + 1)(a – 1)(a2 + 1) is a4 – 1.
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
x2 – 9
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
`(x^3y)/9 - (xy^3)/16`
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
1331x3y – 11y3x
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
a4 – (a – b)4
Factorise the expression and divide them as directed:
(x3 + x2 – 132x) ÷ x(x – 11)
Find the value of a, if 8a = 352 – 272
