Respostas
Explicação passo-a-passo:
a) (2x)^2 + (10 - 3x) . (10 + 3x)
4x^2 + (100 + 30x - 30x - 9x^2
4x^2 + 100 - 9x^2
-5x^2 + 100
--------------------------------------------------------------------------------------------------
b) 2xy + (x - y)^2 - (x - y)^2
2xy + (x^2 - 2xy + y^2) - (x^2 - 2xy + y^2)
2xy + x^2 - 2xy + y^2 - x^2 + 2xy - y^2
2xy
-------------------------------------------------------------------------------------------------
c) (x - 10)^2 + 40x
(x^2 - 20x + 100) + 40x
x^2 - 20x + 100 + 40x
x^2 + 20x + 100
------------------------------------------------------------------------------------------------
d) (x + 10) . (x - 10) + 75
(x^2 - 10x + 10x - 100) + 75
x^2 - 100 + 75
x^2 - 25
----------------------------------------------------------------------------------------------
e) a^2 + (a + 2)^2
a^2 + (a^2 + 4a + 4)
a^2 + a^2 + 4a + 4
2a^2 + 4a + 4
---------------------------------------------------------------------------------------------
f) (x + 8)^2 - 18x
(x^2 + 16x + 64) - 18x
x^2 + 16x + 64 - 18x
x^2 - 2x + 64
--------------------------------------------------------------------------------------------
g) (2x + 5)^2 + 3x
(4x^2 + 20x + 25) + 3x
4x^2 + 20x + 25 + 3x
4x^2 + 23x + 25