Advertisements
Advertisements
Question
Factorize each of the following algebraic expression:
25 − p2 − q2 − 2pq
Advertisements
Solution
\[25 - p^2 - q^2 - 2pq\]
\[ = 25 - ( p^2 + 2pq + q^2 )\]
\[ = 5^2 - ( p^2 + 2 \times p \times q + q^2 )\]
\[ = 5^2 - (p + q )^2 \]
\[ = [5 - (p + q)][5 + (p + q)]\]
\[ = (5 - p - q)(5 + p + q)\]
\[ = - (p + q - 5)(p + q + 5)\]
RELATED QUESTIONS
Factorize each of the following algebraic expressions:
6x(2x − y) + 7y(2x − y)
Factorize each of the following algebraic expressions:
6(a + 2b) −4(a + 2b)2
Factorize each of the following algebraic expression:
40 + 3x − x2
Factorize each of the following algebraic expression:
a2 + 3a − 88
Factorize each of the following algebraic expression:
a2 − 14a − 51
Factorize each of the following algebraic expression:
y2 + 5y − 36
Factorise the following expression.
y2 − 4
Factorise the following expression.
`"p"^2-1/25`
Factorise the following expressions and write them in the product form.
5t2
Factorise the following expression and write them in the product form.
6 ab2.
