Question

find the product m2_n2 ×m2+n2
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Answer 1

The product of ($m^{2}$ - $n^{2}$) × ($m^{2}$ + $n^{2}$) is "$m^{4}$ - $n^{4}$".

Step-by-step explanation:

We have,

($m^{2}$ - $n^{2}$) × ($m^{2}$ + $n^{2}$)

= ($(m^{2} )^{2}$ - $(n^{2})^{2}$)

[ ∵(a + b)(a - b) = $a^{2}$ - $b^{2}$ )

= $m^{4}$ - $n^{4}$

∴ ($m^{2}$ - $n^{2}$) × ($m^{2}$ + $n^{2}$) = $m^{4}$ - $n^{4}$

Hence, the product of ($m^{2}$ - $n^{2}$) × ($m^{2}$ + $n^{2}$) is $m^{4}$ - $n^{4}$.