Question

Respondam essa atividade é pra hoje!

Fatore os trinômio do quadrado perfeito.
1) a² + 2ab + b²=

2) x² + 18x +81=

3) 100 + 20y + y² =

4) 25x⁶ + 30x³y⁴ + 9y⁸=

5) 4x² - 32x + 64=

6) 9a¹⁰ - 36a⁵ + 36=

Answer 1

Fatoração do trinômio quadrado perfeito

$\large\boxed{\boxed{\boxed{\boxed{\mathsf{a^2\pm2ab+b^2=(a\pm b)^2}}}}}$

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$\mathtt{1)}~\\\large\boxed{\boxed{\boxed{\boxed{\mathsf{a^2+2ab+b^2=(a+b)^2}}}}}\\\mathtt{2)}\\\large\boxed{\boxed{\boxed{\boxed{\mathsf{x^2+18x+81=(x+9)^2}}}}}\\\mathtt{3)}\\\large\boxed{\boxed{\boxed{\boxed{\mathsf{100+20y+y^2=(10+y)) ^2}}}}}\\\mathtt{4)}\\\large\boxed{\boxed{\boxed{\boxed{\mathsf{25x^6+30x^3y^4+9y^8=(5x^3+3y^4)^2}}}}}\\\mathtt{5)}\\\large\boxed{\boxed{\boxed{\boxed{\mathsf{4x^2-32x+64=(2x-8)^2}}}}}\\\mathtt{6)}\\\large\boxed{\boxed{\boxed{\boxed{\mathsf{9a^{10}-36a^5+36=(3a^5-6)^2}}}}}$

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