Question

Solution:-simplify (x+3)(x-3 )(x+4)(x-4)

Answer 1

hope it helps u dear

Answer 2

Answer:

$(x+3)(x-3)(x+4)(x-4)=x^{4}-25x^{2}+144$

Step-by-step explanation:

$(x+3)(x-3)(x+4)(x-4)\\=[(x+3)(x-3)][(x+4)(x-4)]\\=(x^{2}-3^{2})(x^{2}-4^{2})$

$By \: algebraic \: identity :\\\boxed {(a+b)(a-b) = a^{2}-b^{2}}$

$= (x^{2}-9)(x^{2}-16)$

$=x^{2}(x^{2}-16)-9(x^{2}-16)\\=x^{4}-16x^{2}-9x^{2}+144\\=x^{4}-25x^{2}+144$

Therefore,

$(x+3)(x-3)(x+4)(x-4)=x^{4}-25x^{2}+144$

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