Advertisements
Advertisements
Question
Factorize each of the following expression:
25x4y4 − 1
Advertisements
Solution
\[25 x^4 y^4 - 1\]
\[ = (5 x^2 y^2 )^2 - 1\]
\[ = (5 x^2 y^2 - 1)(5 x^2 y^2 + 1)\]
APPEARS IN
RELATED QUESTIONS
Factorize each of the following expression:
a4 − 16b4
Factorize each of the following expression:
x8 − 1
Factorize each of the following expression:
x5 − 16x3
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:
q2 − 10q + 21
Factorize each of the following quadratic polynomials by using the method of completing the square:
4x2 − 12x + 5
Factorize each of the following quadratic polynomials by using the method of completing the square:
y2 − 7y + 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]
