If a+b=10 and ab=16 find the value a^2-ab+b^2 and a^2+ab+b^2
angielski
źródło:
a + b = 10 ab = 16 find the value a^2-ab+b^2 and a^2+ab+b^2
(a+b)^2=a^2+2ab+b^2\\\\ 10^2=a^2+b^2+2\cdot 16\\\\100=a^2+b^2+32\\\\ 100-32=a^2+b^2\\\\ a^2+b^2=68 , a^2-ab+b^2=a^2+b^2-ab=68-16=52
a^2+ab+b^2=a^2+b^2+ab=68+16=84