Advertisements
Advertisements
प्रश्न
Factorize each of the following expression:
(3x + 4y)4 − x4
Advertisements
उत्तर
\[(3x + 4y )^4 - x^4 \]
\[ = [(3x + 4y )^2 ]^2 - ( x^2 )^2 \]
\[ = [(3x + 4y )^2 + x^2 ][(3x + 4y )^2 - x^2 ]\]
\[ = [(3x + 4y )^2 + x^2 ][(3x + 4y) + x][(3x + 4y) - x]\]
\[ = {(3x + 4y )^2 + x^2 }(3x + 4y + x)(3x + 4y - x)\]
\[ = \left\{ \left( 3x + 4y \right)^2 + x^2 \right\}(4x + 4y)(2x + 4y)\]
\[ = \left\{ \left( 3x + 4y \right)^2 + x^2 \right\}4(x + y)2(x + 2y)\]
\[ = 8\left\{ \left( 3x + 4y \right)^2 + x^2 \right\}(x + y)(x + 2y)\]
APPEARS IN
संबंधित प्रश्न
Factorize each of the following expression:
(2a − b)2 − 16c2
Factorize each of the following expression:
25x4y4 − 1
Factorize each of the following expression:
75a3b2 - 108ab4
Factorize each of the following expression:
p2q2 − p4q4
Factorize each of the following expression:
a4b4 − 16c4
Factorize each of the following expression:
x − y − x2 + y2
Factorize each of the following expression:
4(xy + 1)2 − 9(x − 1)2
Factorize each of the following expression:
x4 − (2y − 3z)2
Factorize each of the following expression:
16a4 − b4
Factorize each of the following quadratic polynomials by using the method of completing the square:
q2 − 10q + 21
