Question

utilize utilize os produtos notáveis de cálculo expressão abaixo



a(x+y)2

b(a+7)2

c(3x+1)2

d(10y+x)2

e(a+3x)2

f(xy+5x)2

g(3m2+4n)2

h(xy+p3)2

​

Answer 1

Vamos lá!

$(x + y) {}^{2} = \blue{\boxed{\boxed{{x}^{2} +2xy + {y}^{2} }}} \\ \\ (a + 7) {}^{2} = \blue{\boxed{\boxed{ {a}^{2} + 14a + 49}}} \\ \\ (3x + 1) {}^{2} =\blue{\boxed{\boxed{ 9 {x}^{2} + 6x + 1}}} \\ \\ (10y + x) {}^{2} =\blue{\boxed{\boxed{ 100 {y}^{2} + 20yx + {x}^{2} }}} \\ \\ (a + 3x) {}^{2} = \blue{\boxed{\boxed{{a}^{2} + 6ax + {9x}^{2} }}} \\ \\ (xy + 5x) {}^{2} = \blue{\boxed{\boxed{ {x}^{2} y {}^{2} + 10 {x}^{2} y + 25 {x}^{2} }}} \\ \\ (3m {}^{2} + 4n) {}^{2} = \blue{\boxed{\boxed{9 {m}^{4} + 24m {}^{2} n + 16 {n}^{2} }}} \\ \\ (xy + {p}^{3} ) {}^{2} = \blue{\boxed{\boxed{ {x}^{2} y {}^{2} + 2xyp {}^{3} + {p}^{6} }}}$