Advertisements
Advertisements
Question
Factorize each of the following expression:
3x3y − 243xy3
Advertisements
Solution
\[3 x^3 y - 243x y^3 \]
\[ = 3xy( x^2 - 81 y^2 )\]
\[ = 3xy[ x^2 - (9y )^2 ]\]
\[ = 3xy(x - 9y)(x + 9y)\]
RELATED QUESTIONS
Factorize each of the following expression:
27x2 − 12y2
Factorize each of the following expression:
25x4y4 − 1
Factorize each of the following expression:
9(a − b)2 − 100(x − y)2
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:
4(xy + 1)2 − 9(x − 1)2
Factorize each of the following expression:
x3 − x
Factorize each of the following expression:
18a2x2 − 32
Factorize each of the following quadratic polynomials by using the method of completing the square:
x2 + 12x + 20
Factorize each of the following quadratic polynomials by using the method of completing the square:
a2 + 2a − 3
