Question

QUADRADO DA SOMA SE DOIS TERMOS ⇒ (a+b)²=a²+2.a.b+b²

A) (x+1)²=
B) (2x+3)²=
C) (2x+3y)²=
D) (5a+x)²=
E) (2ab+1)²=
F) (x²+y²)²=

Answer 1

Letra A>
(x+1)²=x²+2.x.1+1²=x²+2x+1

Letra B>
(2x+3)²= (2x)²+2.2x.3+3²=4x²+12x+9

Letra C>
(2x+3y)²= (2x)²+ 2.2x.3y+ (3y)²=4x²+12xy+9y²

Letra D>
(5a+x)²= (5a)²+ 2.5a.x+x²=25a²+10ax+x²

Letra E>
(2ab+1)²=(2ab)²+2.2ab.1+1²=4a²b²+4ab+1

Letra F>
(x²+y²)²=(x²)²+ 2.x².y²+ (y²)²=x⁴+2x²y²+y⁴