Advertisements
Advertisements
Question
Factorise the following expression.
4x2 − 25y2
Advertisements
Solution
4x2 − 25y2
Let us recognize it as the difference of the squares of a and b.
a = 4x2 = (2x)2
b = 25y2 = (5y)2
∴ a2 − b2 = (a + b) (a − b)
∴ (2x)2 − (5y)2 = (2x + 5y) (2x − 5y)
RELATED QUESTIONS
Factorize each of the following algebraic expressions:
3a(x − 2y) −b(x − 2y)
Factorize each of the following algebraic expressions:
a(x − y) + 2b(y − x) + c(x − y)2
Factorize each of the following algebraic expression:
36a2 + 36a + 9
Factorize each of the following algebraic expression:
a2 + 2ab + b2 − 16
Factorize each of the following algebraic expression:
a2 + 4ab + 3b2
Factorize each of the following algebraic expression:
a4 + 3a2 +4
Factorize each of the following algebraic expression:
25 − p2 − q2 − 2pq
Factorize each of the following algebraic expression:
a2 − 14a − 51
Factorise the following expression.
`1/2y^2-8z^2`
The value of p in the equation `(2"p")/3` = 10 is ________
