Math, asked by yashveer6394785041, 2 months ago

a4-2a2b2+b4 please tell tomorrow is my paper​

Answers

Answered by shivu8275
6

Step-by-step explanation:

=a⁴-2a²b²+b4

=(a²)²-2(a²)(b²)+(b²)

=(a²-b²)²

=[(a+b)(a-b)]²

Answered by MrHyper
219

\huge\rm\purple{an{\mathfrak{S}}wer:}

{}

\bf{{\underline{To~solve}}:}

  • \sf{a^{4}-2a^{2}b^{2}+b^{4}}

\bf{{\underline{Solution}}:}

{\sf{\pmb{\underline{Identity}}:}}~{\sf{(a)^{2}-2ab+(b)^{2}=(a-b)(a-b)=(a-b)^{2}}}

\sf\implies{(a^{2})^{2}-2(a^{2})(b^{2})+(b^{2})^{2}}

\sf\implies{(a^{2}-b^{2})(a^{2}-b^{2})}

\sf\implies{{\purple{\underline{\boxed{\bf (a^{2}-b^{2})^{2}}}}}}

\bf\therefore{{\underline{Required~answer}}:}

  • \sf{a^{4}-2a^{2}b^{2}+b^{4}={\purple{\underline{\underline{\bf (a^{2}-b^{2})^{2}}}}}}
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