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Popular >

expand (x+y=7,)(x^2-y^2=21)

Solution

expand

(x + y = 7,) (x^{2} - y^{2} = 21)

Solution

x^{3} - x y^{2} = 21

Solution steps

(x + y = 7,) (x^{2} - y^{2} = 21)

= (x + 7 =, y) (x^{2} - 21 = y^{2})

Apply FOIL method:

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

a = x, b = y = 7,, c = x^{2}, d = - y^{2} = 21

x x^{2} + x (- y^{2} = 21) + y = 7, x^{2} + y = 7, (- y^{2} = 21)

Apply minus-plus rules

+ (- a) = - a

x^{2} x - x y^{2} = 21 + y = 7, x^{2} - y = 7, y^{2} = 21

Expand

x^{2} x - x y^{2} : x^{3} - x y^{2}

x^{3} - x y^{2} = 21

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Frequently Asked Questions (FAQ)

What is expand (x+y=7,)(x^2-y^2=21) ?
The solution to expand (x+y=7,)(x^2-y^2=21) is x^3-xy^2=21