Advertisements
Advertisements
Question
Factorize each of the following algebraic expression:
9z2 − x2 + 4xy − 4y2
Advertisements
Solution
\[9 z^2 - x^2 + 4xy - 4 y^2 \]
\[ = 9 z^2 - ( x^2 - 4xy + 4 y^2 )\]
\[ = 9 z^2 - [ x^2 - 2 \times x \times 2y + (2y )^2 ]\]
\[ = (3z )^2 - (x - 2y )^2 \]
\[ = [3z - (x - 2y)][3z + (x - 2y)]\]
\[ = (3z - x + 2y)(3z + x - 2y)\]
\[ = (x - 2y + 3z)( - x + 2y + 3z)\]
APPEARS IN
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:
9a(6a − 5b) −12a2(6a − 5b)
Factorize each of the following algebraic expressions:
16(2l − 3m)2 −12(3m − 2l)
Factorize each of the following algebraic expressions:
(x − y)2 + (x − y)
Factorize each of the following algebraic expression:
16 − a6 + 4a3b3 − 4b6
Factorize each of the following algebraic expression:
25x2 − 10x + 1 − 36y2
Factorize each of the following algebraic expression:
a2 + 2ab + b2 − c2
Factorize each of the following algebraic expression:
x2 + 14x + 45
Factorise the following expression.
p2 − q2
