Question

desenvolva os produtos notáveis.

a) (x + 3 )2 e) (4x - 11)2


b) (y + 1)2 f) (2 - z)2


c) (2 + y)2 g) (y +6)(y - 6)


d) (x - 1)2 h) (2c + 3)(2c - 3)

Answer 1

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$\Large\boxed{\sf{\underline{Quadrado~da~soma~de~dois~termos}}}\\\huge\boxed{\boxed{\boxed{\tt{(a+b)^2=a^2+2ab+b^2}}}}$

$\Large{\boxed{\sf{\underline{Quadrado~da~diferenc_{\!\!,}a~de~dois~termos}}}}\\\huge\boxed{\boxed{\boxed{\tt{(a-b)^2=a^2-2ab+b^2}}}}$

$\Large\boxed{\sf{\underline{Produto~da~soma~pela~diferenc_{\!\!,}a~de~dois~termos}}}\\\huge\boxed{\boxed{\boxed{\tt{(a+b)\cdot(a-b)=a^2-b^2}}}}$

$\tt{a)}~\sf{(x+3)^2=x^2+6x+9}\\\tt{b)}~\sf{(y+1)^2=y^2+2y+1}\\\tt{c)}~\sf{(2+y)^2=4+2y+y^2}\\\tt{d)}~\sf{(x-1)^2=x^2-2x+1}\\\tt{e)}~\sf{(4x-11)^2=16x^2-88x+121}\\\tt{f)}~\sf{(2-z)^2=4-4z+z^2}\\\tt{g)}~\sf{(y+6)(y-6)=y^2-36}\\\tt{h)}~\sf{(2c+3)(2c-3)=4c^2-9}$