Question

simplifique as expressão (a2+ab/a-b- a2+ab/a2+2ab+b2

Answer 1

Resposta:

a^2+a\frac{b}{a}-b-a^2+a\frac{b}{a}\cdot \:2+2ab+b^2=b^2+2ab+2b

a^2+a\frac{b}{a}-b-a^2+a\frac{b}{a}\cdot \:2+2ab+b^2

=a^2-a^2+2ab+\frac{b}{a}a+2\cdot \frac{b}{a}a+b^2-b

=a^2-a^2+2ab+3\cdot \frac{b}{a}a+b^2-b

=2ab+3\cdot \frac{b}{a}a+b^2-b

=2ab+3b+b^2-b

=b^2+2ab+3b-b

=b^2+2ab+2b