Advertisements
Advertisements
प्रश्न
Factorize each of the following algebraic expression:
9z2 − x2 + 4xy − 4y2
Advertisements
उत्तर
\[9 z^2 - x^2 + 4xy - 4 y^2 \]
\[ = 9 z^2 - ( x^2 - 4xy + 4 y^2 )\]
\[ = 9 z^2 - [ x^2 - 2 \times x \times 2y + (2y )^2 ]\]
\[ = (3z )^2 - (x - 2y )^2 \]
\[ = [3z - (x - 2y)][3z + (x - 2y)]\]
\[ = (3z - x + 2y)(3z + x - 2y)\]
\[ = (x - 2y + 3z)( - x + 2y + 3z)\]
संबंधित प्रश्न
Factorize each of the following algebraic expressions:
16(2l − 3m)2 −12(3m − 2l)
Factorize each of the following algebraic expression:
p2q2 − 6pqr + 9r2
Factorize each of the following algebraic expression:
9a4 − 24a2b2 + 16b4 − 256
Factorize the following algebraic expression:
(x + 2)2 − 6(x + 2) + 9
Factorize each of the following algebraic expression:
x2 − y2 − 4xz + 4z2
Factorize each of the following algebraic expression:
40 + 3x − x2
Factorize each of the following algebraic expression:
x2 − 4x − 21
Factorise the following expression.
y2 − 4
Factorise the following expression.
`1/2y^2-8z^2`
Factorise the following expression and write them in the product form.
6 ab2.
