Advertisements
Advertisements
Question
Factorize each of the following expression:
a4 − 16(b − c)4
Solution
\[a^4 - 16(b - c )^4 \]
\[ = ( a^2 )^2 - [4(b - c )^2 ]^2 \]
\[ = [ a^2 + 4(b - c )^2 ][ a^2 - 4(b - c )^2 ]\]
\[ = [ a^2 + 4(b - c )^2 ]{ a^2 - [2(b - c) ]^2 }\]
\[ = [ a^2 + 4(b - c )^2 ][a + 2(b - c)][a - 2(b - c)]\]
\[ = [ a^2 + 4(b - c )^2 ](a + 2b - 2c)(a - 2b + 2c)\]
APPEARS IN
RELATED QUESTIONS
Factorize each of the following expression:
144a2 − 169b2
Factorize each of the following expression:
(2a − b)2 − 16c2
Factorize each of the following expression:
64 − (a + 1)2
Factorize each of the following expression:
Factorize each of the following expression:
(3x + 4y)4 − x4
Factorize each of the following expression:
16(2x − 1)2 − 25y2
Factorize each of the following quadratic polynomials by using the method of completing the square:
4y2 + 12y + 5
Factorise the following expressions
4x2 – 8x + 3
Factorise: (7y2 – 19y – 6)
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?
