Advertisements
Advertisements
प्रश्न
Factorize each of the following expression:
16a4 − b4
उत्तर
\[16 a^4 - b^4 \]
\[ = (4 a^2 )^2 - ( b^2 )^2 \]
\[ = (4 a^2 + b^2 )(4 a^2 - b^2 )\]
\[ = (4 a^2 + b^2 )[(2a )^2 - b^2 ]\]
\[ = (4 a^2 + b^2 )(2a + b)(2a - b)\]
APPEARS IN
संबंधित प्रश्न
Factorize each of the following expression:
(x + 2y)2 − 4(2x − y)2
Factorize each of the following expression:
x8 − 1
Factorize each of the following expression:
x3 − 144x
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:
a4 − (2b + c)4
Factorize each of the following expression:
49(a − b)2 − 25(a + b)2
Factorize each of the following expression:
x4 − (2y − 3z)2
Factorize each of the following expression:
2a5 − 32a
Factorize each of the following quadratic polynomials by using the method of completing the square:
4y2 + 12y + 5
A contractor uses the expression 4x2 + 11x + 6 to determine the amount of wire to order when wiring a house. If the expression comes from multiplying the number of rooms times the number of outlets and he knows the number of rooms to be (x + 2), find the number of outlets in terms of ’x’. [Hint : factorise 4x2 + 11x + 6]
