Question

$(m {}^{2} - n {}^{2})(m {}^{2} - n {)}^{2}$
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Answer 1

$\huge\tt{Answer:}$

Let's simplify it!

Let m be :

$x$

And n be :

$y$

Let's Begin!

$( {x}^{2} - {y}^{2} ) {( {x}^{2} - y)}^{2}$

$= > ( {x}^{2} - {y}^{2} )( {x}^{4} - {y}^{2} )$

(In this above step, we've added the exponent 2 to the second term and we've changed into this.)

$= > {x}^{2} ( {x}^{4} - {y}^{2} ) - {y}^{2} ( {x}^{4} - {y}^{2} )$

$= > {x}^{6} - {x}^{2} {y}^{2} - {x}^{4} {y}^{2} + {y}^{4}$

(In this above step, we've multiplied them with each other and this change is seen here.)

Now let us get the real result:

We have placed X in the position of M and Y in position of Y.

So the real result would be:

${m}^{6} - {m}^{2} {n}^{2} - {m}^{4} {n}^{2} + {n}^{4}$

THANKS!!

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