Advertisements
Advertisements
Question
Factorize each of the following expression:
\[\frac{1}{16} x^2 y^2 - \frac{4}{49} y^2 z^2\]
Advertisements
Solution
\[\frac{1}{16} x^2 y^2 - \frac{4}{49} y^2 z^2 \]
\[ = y^2 \left( \frac{1}{16} x^2 - \frac{4}{49} z^2 \right)\]
\[ = y^2 \left[ \left( \frac{1}{4}x \right)^2 - \left( \frac{2}{7}z \right)^2 \right]\]
\[ = y^2 \left( \frac{1}{4}x - \frac{2}{7}z \right)\left( \frac{1}{4}x + \frac{2}{7}z \right)\]
\[ = y^2 \left( \frac{x}{4} - \frac{2}{7}z \right)\left( \frac{x}{4} + \frac{2}{7}z \right)\]
RELATED QUESTIONS
Factorize each of the following expression:
a4 − 16b4
Factorize each of the following expression:
64 − (a + 1)2
Factorize each of the following expression:
x − y − x2 + y2
Factorize each of the following expression:
x4 − (2y − 3z)2
Factorize each of the following expression:
a2 − b2 + a − b
Factorize each of the following expression:
16a4 − b4
Factorize each of the following expression:
x3 − x
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:
4x2 − 12x + 5
Find the missing term: y2 + (...)x + 56 = (y + 7)(y + ...)
