Advertisements
Advertisements
प्रश्न
Factorize each of the following expression:
(x + 2y)2 − 4(2x − y)2
Advertisements
उत्तर
\[(x + 2y )^2 - 4(2x - y )^2 = (x + 2y )^2 - [2(2x - y) ]^2 \]
\[ = [(x + 2y) - 2(2x - y)][(x + 2y) + 2(2x - y)]\]
\[ = (x + 2y - 4x + 2y)(x + 2y + 4x - 2y)\]
\[ = 5x(4y - 3x)\]
संबंधित प्रश्न
Factorize each of the following expression:
16x2 − 25y2
Factorize each of the following expression:
27x2 − 12y2
Factorize each of the following expression:
x8 − 1
Factorize each of the following expression:
(3 + 2a)2 − 25a2
Factorize each of the following expression:
x5 − 16x3
Factorize each of the following expression:
p2q2 − p4q4
Factorize each of the following expression:
49(a − b)2 − 25(a + b)2
Factorize each of the following expression:
16a4 − b4
Factorize each of the following expression:
a4 − 16(b − c)4
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]
