Advertisements
Advertisements
Question
Factorize each of the following expression:
256x5 − 81x
Advertisements
Solution
\[256 x^5 - 81x\]
\[ = x(256 x^4 - 81)\]
\[ = x[(16 x^2 )^2 - 9^2 ]\]
\[ = x(16 x^2 + 9)(16 x^2 - 9)\]
\[ = x(16 x^2 + 9)[(4x )^2 - 3^2 ]\]
\[ = x(16 x^2 + 9)(4x + 3)(4x - 3)\]
RELATED QUESTIONS
Factorize each of the following expression:
27x2 − 12y2
Factorize each of the following expression:
12m2 − 27
Factorize each of the following expression:
125x2 − 45y2
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:
49(a − b)2 − 25(a + b)2
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:
a2 − 14a − 51
Factorise the following expressions
4x2 – 8x + 3
