Question

Выполни сложение алгебраических дробей z+4(4−z)2+44z−z2.

Answer 1

$\displaystyle\bf\\\dfrac{z+4}{(4-z)^{2} } +\dfrac{4}{4z-z^{2} }=\dfrac{z+4}{(4-z)^{2} } +\dfrac{4}{z(4-z)}=\dfrac{(z+4)\cdot z+4\cdot(4-z)}{z(4-z)^{2} } =\\\\=\dfrac{z^{2} +4z+16-4z}{z(4-z)^{2} } =\dfrac{z^{2} +16}{z(4-z)^{2} }$