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March 2022
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Помогите упростить (а ) и доупростить Б (начало на листочке в клетку)
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Lyugod
4/(a¹'⁵-8)-(a⁰'⁵-2)/(a+2a⁰'⁵+4)·(a²-8a⁰'⁵)/(a-16)-4a°'⁵/(a⁰'⁵+4)=
=4/(a¹'⁵-8)·(a²-8a⁰'⁵)/(a-16)-(a⁰'⁵-2)/(a+2a⁰'⁵+4)·(a²-8a⁰'⁵)/(a-16)-4a⁰'⁵/(a⁰'⁵+4)=
=(4/(a¹'⁵-8))·a⁰'⁵(a¹'⁵-8)/(a-16)-((a⁰'⁵-2)/(a+2a⁰'⁵+4))·a⁰'⁵(a¹'⁵-8)/(a-16)-4a⁰'⁵/(a⁰'⁵+4)=
=4·a⁰'⁵/(a-16)-a⁰'⁵(a⁰'⁵-2)(a⁰'⁵-2)(a+2a⁰'⁵+4)/(a+2a⁰'⁵+4)(a-16)-4a⁰'⁵/(a⁰'⁵+4)=
=4a⁰'⁵/(a-16)-a⁰'⁵(a⁰'⁵-2)(a⁰'⁵-2)/(a-16)-4a⁰'⁵(a⁰'⁵-4)/(a-16)=
=(4a⁰'⁵-a⁰'⁵(a-4a⁰'⁵+4)-4a+16a⁰'⁵)/(a-16)=
=(4a⁰'⁵-a¹'⁵+4a-4a⁰'⁵-4a+16a⁰'⁵)/(a-16)=
=(-a¹'⁵+16a⁰'⁵)/(a-16)=-a⁰'⁵(a-16)/(a-16)=-a⁰'⁵
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Answers & Comments
=4/(a¹'⁵-8)·(a²-8a⁰'⁵)/(a-16)-(a⁰'⁵-2)/(a+2a⁰'⁵+4)·(a²-8a⁰'⁵)/(a-16)-4a⁰'⁵/(a⁰'⁵+4)=
=(4/(a¹'⁵-8))·a⁰'⁵(a¹'⁵-8)/(a-16)-((a⁰'⁵-2)/(a+2a⁰'⁵+4))·a⁰'⁵(a¹'⁵-8)/(a-16)-4a⁰'⁵/(a⁰'⁵+4)=
=4·a⁰'⁵/(a-16)-a⁰'⁵(a⁰'⁵-2)(a⁰'⁵-2)(a+2a⁰'⁵+4)/(a+2a⁰'⁵+4)(a-16)-4a⁰'⁵/(a⁰'⁵+4)=
=4a⁰'⁵/(a-16)-a⁰'⁵(a⁰'⁵-2)(a⁰'⁵-2)/(a-16)-4a⁰'⁵(a⁰'⁵-4)/(a-16)=
=(4a⁰'⁵-a⁰'⁵(a-4a⁰'⁵+4)-4a+16a⁰'⁵)/(a-16)=
=(4a⁰'⁵-a¹'⁵+4a-4a⁰'⁵-4a+16a⁰'⁵)/(a-16)=
=(-a¹'⁵+16a⁰'⁵)/(a-16)=-a⁰'⁵(a-16)/(a-16)=-a⁰'⁵