Advertisements
Advertisements
प्रश्न
Factorize each of the following algebraic expression:
9z2 − x2 + 4xy − 4y2
Advertisements
उत्तर
\[9 z^2 - x^2 + 4xy - 4 y^2 \]
\[ = 9 z^2 - ( x^2 - 4xy + 4 y^2 )\]
\[ = 9 z^2 - [ x^2 - 2 \times x \times 2y + (2y )^2 ]\]
\[ = (3z )^2 - (x - 2y )^2 \]
\[ = [3z - (x - 2y)][3z + (x - 2y)]\]
\[ = (3z - x + 2y)(3z + x - 2y)\]
\[ = (x - 2y + 3z)( - x + 2y + 3z)\]
APPEARS IN
संबंधित प्रश्न
Factorize each of the following algebraic expressions:
5(x − 2y)2 + 3(x − 2y)
Factorize each of the following algebraic expression:
p2q2 − 6pqr + 9r2
Factorize each of the following algebraic expression:
36a2 + 36a + 9
Factorize each of the following algebraic expression:
x2 + 2x + 1 − 9y2
Factorize each of the following algebraic expression:
a2 + 4ab + 3b2
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:
a2 + 3a − 88
Factorize each of the following algebraic expression:
a2 + 14a + 48
Factorize each of the following algebraic expression:
(a2 − 5a)2 − 36
