What is expand (y^1=2,-x^2)(y_{2}=-x) ?

The solution to expand (y^1=2,-x^2)(y_{2}=-x) is y=x^3

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expand (y^1=2,-x^2)(y_{2}=-x)

expand

(y^{1} = 2, - x^{2}) (y_{2} = - x)

y = x^{3}

Solution steps

(y^{1} = 2, - x^{2}) (y_{2} = - x)

= (2 =, y^{1} - x^{2}) (= y_{2} - x)

Apply FOIL method:

(a + b) (c + d) = a c + a d + b c + b d

a = y^{1} = 2,, b = - x^{2}, c = y_{2} =, d = - x

y^{1} = 2, y_{2} = y^{1} = 2, (- x) + (- x^{2}) y_{2} = (- x^{2}) (- x)

Apply minus-plus rules

+ (- a) = - a, (- a) (- b) = ab

y^{1} = 2, y_{2} = - y^{1} = 2, x - x^{2} y_{2} = x^{2} x

Simplify

y^{1} = 2, y_{2} = - y^{1} = 2, x - x^{2} y_{2} = x^{2} x : y = x^{3}

y = x^{3}

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What is expand (y^1=2,-x^2)(y_{2}=-x) ?
The solution to expand (y^1=2,-x^2)(y_{2}=-x) is y=x^3