Advertisements
Advertisements
प्रश्न
Factorize each of the following expression:
(2x + 1)2 − 9x4
Advertisements
उत्तर
\[(2x + 1 )^2 - 9 x^4 \]
\[ = (2x + 1 )^2 - (3 x^2 )^2 \]
\[ = [(2x + 1) - 3 x^2 ][(2x + 1) + 3 x^2 ]\]
\[ = ( - 3 x^2 + 2x + 1)(3 x^2 + 2x + 1)\]
We can factorise the quadratic expressions in the curved brackets as:
\[( - 3 x^2 + 3x - x + 1)(3 x^2 + 2x + 1)\]
\[ = \left\{ 3x( - x + 1) + 1( - x + 1) \right\}(3 x^2 + 2x + 1)\]
\[ = ( - x + 1)(3x + 1)(3 x^2 + 2x + 1)\]
\[ = - (x - 1)(3x + 1)(3 x^2 + 2x + 1)\]
APPEARS IN
संबंधित प्रश्न
Factorize each of the following expression:
16x2 − 25y2
Factorize each of the following expression:
(2a − b)2 − 16c2
Factorize each of the following expression:
x8 − 1
Factorize each of the following expression:
Factorize each of the following expression:
\[\frac{1}{16} x^2 y^2 - \frac{4}{49} y^2 z^2\]
Factorize each of the following expression:
75a3b2 - 108ab4
Factorize each of the following expression:
a4 − (2b + c)4
Factorize each of the following expression:
p2q2 − p4q4
Factorize each of the following expression:
3x3y − 243xy3
Factorize each of the following quadratic polynomials by using the method of completing the square:
p2 + 6p − 16
