Question

1) Resolva pelo processo da propriedade distributiva a)( x + y)²= b)(x + 3)²= c) ( 2y + 2)²= c)(m - n)²= d)(a - 5)²= e)( 2a – 3)²= Alguém poderia me ajudar ...e urgente... obrigada

Answer 1

Explicação passo-a-passo:

a)

$\sf (x+y)^2=(x+y)\cdot(x+y)$

$\sf (x+y)^2=x^2+xy+xy+y^2$

$\sf (x+y)^2=x^2+2xy+y^2$

b)

$\sf (x+3)^2=(x+3)\cdot(x+3)$

$\sf (x+3)^2=x^2+3x+3x+9$

$\sf (x+3)^2=x^2+6x+9$

c)

$\sf (2y+2)^2=(2y+2)\cdot(2y+2)$

$\sf (2y+2)^2=4y^2+4y+4y+4$

$\sf (2y+2)^2=4y^2+8y+4$

d)

$\sf (m-n)^2=(m-n)\cdot(m-n)$

$\sf (m-n)^2=m^2-mn-mn+n^2$

$\sf (m-n)^2=m^2-2mn+n^2$

e)

$\sf (2a-3)^2=(2a-3)\cdot(2a-3)$

$\sf (2a-3)^2=4a^2-6a-6a+9$

$\sf (2a-3)^2=4a^2-12a+9$