Question

descubra o quadrado da soma dos terms
$(7a + 4b) {}^{2}$
$(5a + 2b {}^{3} ) {}^{2}$
$(100 + 5 x) {}^{2}$
$(x + y) {}^{2}$

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Answer 1

Explicação passo-a-passo:

a)

$(7a + 4b)^{2} = (7a)^{2} + 2.7a.4b + (4b)^{2} = 49 {a}^{2} + 56ab + 16 {b}^{2}$

b)

$(5a + 2 {b}^{3} )^{2} = (5a)^{2} + 2.5a.2 {b}^{3} + (2 {b}^{3} )^{2} = 25 {a}^{2} + 20 {b}^{3} + 4 {b}^{6}$

c)

$(100 + 5x)^{2} = {100}^{2} + 2.100.5x + (5x)^{2} = 10000 + 1000x + 25 {x}^{2}$

d)

$(x + y)^{2} = {x}^{2} + 2.x.y + {y}^{2} {x}^{2} + 2xy + {y}^{2}$