Simplifique as expressões:
a) (x+y)2–x2 -y2
b) (x+2)(x-7)+(x-5)(x+3)
c) (2x-y)2 -4x(x-y)
a) (x+y)2–x2 -y2
b) (x+2)(x-7)+(x-5)(x+3)
c) (2x-y)2 -4x(x-y)
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x²+2xy+y² -x²-y² = 2xy
b) (x+2)(x-7)+(x-5)(x+3)=
x²-5x-14 + x²-2x-15 = 2x² -7x -29
c) (2x-y)2 -4x(x-y)
4x²-4xy+y² -4x²+4xy = y²
a) (x+y)2–x2 -y2
x² + 2xy + y² - x² - y²
x² - x² + 2xy + y² - y²
0 + 2xy + 0
2xy ✓
b) (x+2)(x-7)+(x-5)(x+3)
x² -7x + 2x - 14 + x² + 3x -5x -15
x² + x² - 5x + 3x -14 - 15
2x² - 7x - 29 ✓
c) (2x-y)2 -4x(x-y)
4x² - 4xy + y² - 4x² + 4xy
4x² - 4x² -4xy + 4xy + y²
0 + 0 + y²
y² ✓