Question

assunto: produtos notáveis

a) (a+13)²
b) (a+14)²
c) (a+15)²
d) (a+16)²
e) (a+17)²
f) (a+18)²

me ajudem!!!!!!

Answer 1

Resposta:

$\sf{segue \: abaixo \: a \: resposta}$

Explicação passo-a-passo:

a)

$\sf{(a+13)²}$

$\sf{ {a}^{2} + 2ax13 + {13}^{2} }$

$\sf{2x13 = 26}$

$\sf{ {a}^{2} + 26a + {13}^{2} }$

$\sf{ {13}^{2} = 13x3 = 169 }$

$\boxed{\boxed{{\sf{ {a}^{2} + 26a + 169 }}}}$

b)

$\sf{(a+14)²}$

$\sf{ {a}^{2} + 2ax14 + {14}^{2} }$

$\sf{2x14 = 28}$

$\sf{ {a}^{2} + 28a + {14}^{2} }$

$\sf{ {14}^{2} = 14x14 = 196}$

$\boxed{\boxed{{\sf{ {a}^{2} + 28a + 196}}}}$

c)

$\sf{(a+15)²}$

$\sf{ {a}^{2} + 2ax15 + {15}^{2} }$

$\sf{2x15 = 30}$

$\sf{ {a}^{2} + 30a + {15}^{2} }$

$\sf{ {15}^{2} = 15x15 = 225 }$

$\boxed{\boxed{{\sf{ {a}^{2} + 30a + 225 }}}}$

d)

$\sf{(a+16)²}$

$\sf{ {a}^{2} + 2ax16 + {16}^{2} }$

$\sf{2x16 = 32}$

$\sf{ {a}^{2} + 32a + {16}^{2} }$

$\sf{ {16}^{2} = 16x16 = 256}$

$\boxed{\boxed{{\sf{ {a}^{2} + 32a + 256}}}}$

e)

$\sf{(a+17)²}$

$\sf{ {a}^{2} + 2ax17 + {17}^{2} }$

$\sf{2x17 = 34}$

$\sf{ {a}^{2} + 34a + {17}^{2} }$

$\sf{ {17}^{2} = 17x17 = 289}$

$\boxed{\boxed{{\sf{ {a}^{2} + 34a + 289}}}}$

f)

$\sf{(a+18)²}$

$\sf{ {a}^{2} + 2ax18 + {18}^{2} }$

$\sf{2x18 = 36}$

$\sf{ {a}^{2} + 36a + {18}^{2} }$

$\sf{ {18}^{2} = 18x18 = 324}$

$\boxed{\boxed{{\sf{ {a}^{2} + 36a + 324}}}}$

Answer 2

Explicação passo-a-passo:

$a)(a + 13) {}^{2} = a {}^{2} + 2.a.13 + 13 {}^{2} = a {}^{2} + 26a + 169$

$b)(a + 14) {}^{2} = a {}^{2} + 2.14.a + 14 {}^{2} = a {}^{2} + 28a + 196$

$c)(a + 15) {}^{2} = a {}^{2} + 2.15.a + 15 {}^{2} = a {}^{2} + 30a + 225$

$d)(a + 16) {}^{2} = a {}^{2} + 2.16.a + 16 {}^{2} = a {}^{2} + 32a + 256$

$e)(a + 17) {}^{2} = a {}^{2} + 2.17a + 17 {}^{2} = a {}^{2} + 34a + 289$

$f)(a + 1) {}^{2} = a {}^{2} + 2.18.a + 18 {}^{2} = a {}^{2} + 36a + 324$