Question

1 – Desenvolvas os binômios
a) (x – y)5

Answer 1

$\small\boxed{\begin{array}{l}\underline{\rm Bin\hat omio~de~Newton}\\\sf (a-b)^n=\displaystyle\binom{n}{0}a^n-\binom{n}{1}a^{n-1}b+\binom{n}{2}a^{n-2}b^2-...+\binom{n}{n}b^n\end{array}}$

$\boxed{\begin{array}{l}\tt a)\\\displaystyle\sf (x-y)^5\\\displaystyle\sf =\binom{5}{0} x^5-\binom{5}{1}x^4y+\binom{5}{2}x^3y^2-\binom{5}{3}x^2y^3+\binom{5}{4} xy^4-\binom{5}{5} y^5\\\\\sf (x-y)^5=\\\sf x^5-5x^4y+10x^3y^2-10x^2y^3+5xy^4-y^5\end{array}}$