Advertisements
Advertisements
Question
Factorize each of the following expression:
x4 − 625
Solution
\[x^4 - 625\]
\[ = ( x^2 )^2 - {25}^2 \]
\[ = ( x^2 + 25)( x^2 - 25)\]
\[ = ( x^2 + 25)( x^2 - 5^2 )\]
\[ = ( x^2 + 25)(x + 5)(x - 5)\]
APPEARS IN
RELATED QUESTIONS
Factorize each of the following expression:
12m2 − 27
Factorize each of the following expression:
125x2 − 45y2
Factorize each of the following expression:
a4 − 16b4
Factorize each of the following expression:
Factorize each of the following expression:
(3 + 2a)2 − 25a2
Factorize each of the following expression:
(3x + 4y)4 − x4
Factorize each of the following expression:
3x3y − 243xy3
Factorize each of the following expression:
a4b4 − 81c4
Factorize each of the following quadratic polynomials by using the method of completing the square:
a2 − 14a − 51
Factorize each of the following quadratic polynomials by using the method of completing the square:
a2 + 2a − 3
