Advertisements
Advertisements
Question
Factorize each of the following expression:
x4 − 625
Advertisements
Solution
\[x^4 - 625\]
\[ = ( x^2 )^2 - {25}^2 \]
\[ = ( x^2 + 25)( x^2 - 25)\]
\[ = ( x^2 + 25)( x^2 - 5^2 )\]
\[ = ( x^2 + 25)(x + 5)(x - 5)\]
RELATED QUESTIONS
Factorize each of the following expression:
16x2 − 25y2
Factorize each of the following expression:
\[\frac{1}{16} x^2 y^2 - \frac{4}{49} y^2 z^2\]
Factorize each of the following expression:
Factorize each of the following expression:
a2 − b2 + a − b
Factorize each of the following expression:
16a4 − b4
Factorize each of the following quadratic polynomials by using the method of completing the square:
p2 + 6p + 8
Factorize each of the following quadratic polynomials by using the method of completing the square:
a2 + 2a − 3
Factorize each of the following quadratic polynomials by using the method of completing the square:
z2 − 4z − 12
Obtain the factors of z2 – 4z – 12.
A contractor uses the expression 4x2 + 11x + 6 to determine the amount of wire to order when wiring a house. If the expression comes from multiplying the number of rooms times the number of outlets and he knows the number of rooms to be (x + 2), find the number of outlets in terms of ’x’. [Hint : factorise 4x2 + 11x + 6]
