Expressions

Find out value of expressions if a = -1, b =2:

x=b - 2a - ab
y=a3 - b2 - 2ab
z=a2 b3 - a3 b2
w=a + b + a3 - b2




Result

x =  6
y =  -1
z =  12
w =  -4

Solution:

a=−1 b=2 x=b−2⋅ a−a⋅ b=2−2⋅ (−1)−(−1)⋅ 2=6a=-1 \ \\ b=2 \ \\ x=b - 2 \cdot \ a - a \cdot \ b=2 - 2 \cdot \ (-1) - (-1) \cdot \ 2=6
y=a3−b2−2⋅ a⋅ b=(−1)3−22−2⋅ (−1)⋅ 2=−1y=a^3 - b^2 - 2 \cdot \ a \cdot \ b=(-1)^3 - 2^2 - 2 \cdot \ (-1) \cdot \ 2=-1
z=a2⋅ b3−a3⋅ b2=(−1)2⋅ 23−(−1)3⋅ 22=12z=a^2 \cdot \ b^3 - a^3 \cdot \ b^2=(-1)^2 \cdot \ 2^3 - (-1)^3 \cdot \ 2^2=12
w=a+b+a3−b2=(−1)+2+(−1)3−22=−4w=a + b + a^3 - b^2=(-1) + 2 + (-1)^3 - 2^2=-4

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