a) a(a+b) + a(a-b)+b(b+a)+b)+b(b-a)
b) 5a(a-2) + 2a(a+5)
c) 3(a + 2b - 3c) - 2(a-2c) + 5 (c-b) - (a+b)
d) 8x(x+y) - 2y(y-x) + 0,5(6x^2 + 8x^2) -2 (y^2 + 5xy)
e)
f)
g) 0,2 (5a + 10 b ) - 7 (0,1a - b) + a - b
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a) a(a + b) + a(a - b) + b(b + a) + (b - a) = a² + ab + a² - ab + b² + ab + b - a =
= 2a² + ab + b² + b - a
b) 5a(a - 2) + 2a(a + 5) = 5a² - 10a + 2a² + 10a = 7a²
c) 3(a + 2b - 3c) - 2(a - 2c) + 5(c - b) - (a + b) = 3a + 6b - 9c - 2y² + 2c + 5c - 5b =
= 3a + b - 2c - 2y²
d) 8x(x+y) - 2y(y-x) + 0,5(6x² + 8x²) -2 (y² + 5xy)=8x²+8xy-2y²+2xy+3x²+4x²-2y²-10xy
=15y²
e) ½a(a+1) -2(a²/4 -a/2)= a²/2 +a/2 -a²/2+a =1½a
f) ⅓a(a+1) -4(⅓a²- ¹/₁₂a) -a(1-a)=⅓a²+⅓a-1⅓a²+⅓a-a+a² = -⅓a
g) 0,2 (5a + 10b) - 7(0,1a - b) + a - b = a + 2b - 0,7a + 7b + a - b = 1,3a + 8b
a) a(a+b) + a(a-b)+b(b+a)+b)+b(b-a)=a²+ab+a²-ab+b²+ab+b+b²-ab=2a²+2b²+b
b) 5a(a-2) + 2a(a+5) =5a²-10a+2a²+10a =7a²
c) 3(a + 2b - 3c) - 2(a-2c) + 5 (c-b) - (a+b)=3a+6b-9c -2a+4c+5c-5b-a-b =0
d) 8x(x+y) - 2y(y-x) + 0,5(6x² + 8x²) -2 (y² + 5xy)=8x²+8xy-2y²+2xy+3x²+4x²-2y²-10xy
=15y²
e)½a(a+1) -2(a²/4 -a/2)= a²/2 +a/2 -a²/2+a =1½a
f)⅓a(a+1) -4(⅓a²- ¹/₁₂a) -a(1-a)=⅓a²+⅓a-1⅓a²+⅓a-a+a² = -⅓a
g) 0,2 (5a + 10 b ) - 7 (0,1a - b) + a - b=a+2b -0,7a+7b +a-b =1,3a+8b