Advertisements
Advertisements
Question
Factorize each of the following expression:
16(2x − 1)2 − 25y2
Advertisements
Solution
\[16(2x - 1 )^2 - 25 y^2 \]
\[ = [4(2x - 1) ]^2 - (5y )^2 \]
\[ = [4(2x - 1) - 5y][4(2x - 1) + 5y]\]
\[ = (8x - 4 - 5y)(8x - 4 + 5y)\]
\[ = (8x - 5y - 4)(8x + 5y - 4)\]
APPEARS IN
RELATED QUESTIONS
Factorize each of the following expression:
144a2 − 289b2
Factorize each of the following expression:
12m2 − 27
Factorize each of the following expression:
3a5 − 48a3
Factorize each of the following expression:
(x - 4y)2 − 625
Factorize each of the following expression:
(x + y)2 − (a − b)2
Factorize each of the following expression:
p2q2 − p4q4
Factorize each of the following quadratic polynomials by using the method of completing the square:
4y2 + 12y + 5
Factorize each of the following quadratic polynomials by using the method of completing the square:
z2 − 4z − 12
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]
