Factorise the difference of squares 25x²−9y².
A(5x−3y)(5x+3y)
B(5x−3y)²
C(5x+3y)²
D(25x−9y)(x+y)
Answer & Solution
Correct answer: A. (5x−3y)(5x+3y)
The squared quantities are 5x and 3y, so their sum and difference are the required factors.
Keep practising Factorisation
Browse all Factorisation questions for ICSE Class 8, or explore more Mathematics topics.
Related questions
For integers a,b, x²+px+q=(x+a)(x+b) is an identity. If p is odd, what must hold?Factorise 4x²−(y−1)², distributing the minus signs in the factors correctly.x²+5x+k=(x+m)(x+n), with distinct positive integers m,n. What is the least possible k?Which linear factor is common to x²+3x+2 and x²+4x+3?x²+px+12 has a factor x+3. What must p be?Which factorisation holds for x²−(a+b)x+ab?First recognise a binomial square, then factorise a²−2ab+b²−c².Factorise the numerator and simplify (x²−5x+6)/(x−2), with x≠2.