Advertisements
Advertisements
Question
Factorise the following expression.
`"p"^2-1/25`
Advertisements
Solution
`"p"^2 - 1/25`
Let us recognize it as the difference of the squares of a and b.
a = p2
b = `(1/5)^2 = 1/25`
a2 − b2 = (a + b) (a − b)
∴ `(p)^2-(1/5)^2` = `(p + 1/5)(p - 1/5)`
RELATED QUESTIONS
Find the greatest common factor of the terms in each of the following expression:
2xyz + 3x2y + 4y2
Factorize each of the following algebraic expressions:
2r(y − x) + s(x − y)
Factorize each of the following algebraic expressions:
a(x − y) + 2b(y − x) + c(x − y)2
Factorize each of the following expressions:
p2q − pr2 − pq + r2
Factorize each of the following algebraic expression:
16 − a6 + 4a3b3 − 4b6
Factorize each of the following algebraic expression:
4x4 + 1
Factorize the following algebraic expression:
(x + 2)2 − 6(x + 2) + 9
Factorise the following expression.
y2 − 4
Factorise the following expression.
4x2y − 6x2
The value of p in the equation `(2"p")/3` = 10 is ________
