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NCERT Solutions Class 8 Mathematics Solutions for Exercise 14.2 in Chapter 14 - Factorisation
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Factorise:
x^{4}-(x-z)^{4}=\left(x^{2}\right)^{2}-\left\{(x-2)^{2}\right\}^{2}
Answer:
Solution:
A number, or polynomial may be broken up or decomposed into factors that, when multiplied together, produce the original number. This process is known as factorization or factoring. So here,
=\left\{x^{2}-(x-z)^{2}\right\}\left\{x^{2}+(x-z)^{2}\right\}
\begin{array}{l} =\{x-(x-z)\}\{x+(x-z)\}\left\{x^{2}+(x-z)^{2}\right\} \\ =z(2 x-z)\left(x^{2}+x^{2}-2 x z+z^{2}\right) \\ =z(2 x-z)\left(2 x^{2}-2 x z+z^{2}\right) \end{array}
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