Advertisements
Advertisements
Question
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
`x^2/9 - y^2/25`
Advertisements
Solution
We have,
`x^2/9 - y^2/25 = (x/3)^2 - (y/5)^2`
= `(x/3 - y/5)(x/3 + y/5)`
APPEARS IN
RELATED QUESTIONS
Expand 4p2 – 25q2
Factorise the following algebraic expression by using the identity a2 – b2 = (a + b)(a – b)
z2 – 16
Factorise the following algebraic expression by using the identity a2 – b2 = (a + b)(a – b)
25a2 – 49b2
(a + b)(a – b) = a2 – b2
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).
1331x3y – 11y3x
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
a4 – (a – b)4
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
x4 – 1
Factorise the following using the identity a2 – b2 = (a + b)(a – b).
y4 – 625
Verify the following:
(m + n)(m2 – mn + n2) = m3 + n3
