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:
x8 − 1
Factorize each of the following expression:
36l2 − (m + n)2
Factorize each of the following expression:
25x4y4 − 1
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:
3x3y − 243xy3
Factorize each of the following expression:
xy9 − yx9
Factorize each of the following quadratic polynomials by using the method of completing the square:
x2 + 12x + 20
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?
Find the missing term: y2 + (...)x + 56 = (y + 7)(y + ...)
