Question

desenvolva os seguintes produtos notáveis:
a)(z-2)^2
b)(4p+5)^2
c)(b+3^)2
( 2 )
d)(2+x^2y^2)^2

Answer 1

$a) \\ (z-2)^2=z^2-2.2.z+2^2=z^2-4z+4 \\ \\ b) \\ (4p+5)^2=(4p)^2+2.4p.5+5^2=16p^2+40p+25 \\ \\ c) \\ (b+ \frac{3}{2} )^2=b^2+2 \frac{3}{2} b+( \frac{3}{2} )^2=b^2+3b+ \frac{9}{4} \\ \\ d) \\ (2+ x^{ 2y^{2} } )^2=2^2+2.2.x^{ 2y^{2} }+(x^{ 2y^{2} })^2=4+4x^{ 2y^{2} }+x^{ 2y^{4} }$