Advertisements
Advertisements
Question
Factorize each of the following algebraic expression:
25 − p2 − q2 − 2pq
Advertisements
Solution
\[25 - p^2 - q^2 - 2pq\]
\[ = 25 - ( p^2 + 2pq + q^2 )\]
\[ = 5^2 - ( p^2 + 2 \times p \times q + q^2 )\]
\[ = 5^2 - (p + q )^2 \]
\[ = [5 - (p + q)][5 + (p + q)]\]
\[ = (5 - p - q)(5 + p + q)\]
\[ = - (p + q - 5)(p + q + 5)\]
APPEARS IN
RELATED QUESTIONS
Find the greatest common factor of the terms in each of the following expression:
5a4 + 10a3 − 15a2
Factorize each of the following algebraic expressions:
7a(2x − 3) + 3b(2x − 3)
Factorize each of the following algebraic expressions:
6(a + 2b) −4(a + 2b)2
Factorize each of the following algebraic expression:
a2 + 2ab + b2 − 16
Factorize each of the following algebraic expression:
4x4 + 1
Factorize the following algebraic expression:
(x + 2)2 − 6(x + 2) + 9
Factorize each of the following algebraic expression:
x2 − y2 + 6y − 9
Factorize each of the following algebraic expression:
a2 + 14a + 48
Factorize each of the following algebraic expression:
x2 − 4x − 21
Factorize each of the following algebraic expression:
(a2 − 5a)2 − 36
