Question

simplifique as expressões:
A)(2y+3)+(y-3)elevado a 2-(2y+1)elevado a 2
B)(a+b)elevado a 2-(a+b)(a-b)
C)(x+9)(x-9)+180

Answer 1

a)(2y+3)+(y-3)^2-(2y+1)^2
(2y+3)+(y-3)(y-3)-(2y+1)(2y+1)=
2y+3+(y^2-3y-3y+9)-(4y^2+2y+2y+1)=
2y+3+y^2-6y+9-4y^2-4y-1=
-3y^2-4y-4y+11=
-3y^2-8y+11

c)(a+b)(x-9)+180=
ax-9a+bx-9b+180=
a(x-9)+b(x-9)+180

b)(a+b)^2-(a+b)(a-b)=
(a+b)(a+b)-(a+b)(a-b)=
a^2+ab+ab+b^2-(a^2-ab+ab-b^2)=
a^2+2ab+b^2-a^2+b^2=
2ab+2b^2