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:
16x2 − 25y2
Factorize each of the following expression:
12m2 − 27
Factorize each of the following expression:
144a2 − 169b2
Factorize each of the following expression:
(x + 2y)2 − 4(2x − y)2
Factorize each of the following expression:
36l2 − (m + n)2
Factorize each of the following expression:
(2x + 1)2 − 9x4
Factorize each of the following expression:
xy9 − yx9
Factorize each of the following quadratic polynomials by using the method of completing the square:
4x2 − 12x + 5
A mason uses the expression x2 + 6x + 8 to represent the area of the floor of a room. If the decides that the length of the room will be represented by (x + 4), what will the width of the room be in terms of x?
