What is expand (5x+2y)(6x-2y)(2x-y)(2x+y) ?

The solution to expand (5x+2y)(6x-2y)(2x-y)(2x+y) is 120x^4-30x^2y^2+8x^3y-2xy^3-16y^2x^2+4y^4

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expand (5x+2y)(6x-2y)(2x-y)(2x+y)

expand

(5 x + 2 y) (6 x - 2 y) (2 x - y) (2 x + y)

120 x^{4} - 30 x^{2} y^{2} + 8 x^{3} y - 2 x y^{3} - 16 y^{2} x^{2} + 4 y^{4}

Solution steps

(5 x + 2 y) (6 x - 2 y) (2 x - y) (2 x + y)

Expand

(5 x + 2 y) (6 x - 2 y) (2 x - y) (2 x + y) : (5 x + 2 y) (6 x - 2 y) (4 x^{2} - y^{2})

= (5 x + 2 y) (6 x - 2 y) (4 x^{2} - y^{2})

Apply FOIL method

(5 x + 2 y) (6 x - 2 y) : 30 x^{2} + 2 x y - 4 y^{2}

= (30 x^{2} + 2 x y - 4 y^{2}) (4 x^{2} - y^{2})

Distribute parentheses

= 30 x^{2} \cdot 4 x^{2} + 30 x^{2} (- y^{2}) + 2 x y \cdot 4 x^{2} + 2 x y (- y^{2}) - 4 y^{2} \cdot 4 x^{2} - 4 y^{2} (- y^{2})

Simplify

30 x^{2} \cdot 4 x^{2} + 30 x^{2} (- y^{2}) + 2 x y \cdot 4 x^{2} + 2 x y (- y^{2}) - 4 y^{2} \cdot 4 x^{2} - 4 y^{2} (- y^{2}) : 120 x^{4} - 30 x^{2} y^{2} + 8 x^{3} y - 2 x y^{3} - 16 y^{2} x^{2} + 4 y^{4}

= 120 x^{4} - 30 x^{2} y^{2} + 8 x^{3} y - 2 x y^{3} - 16 y^{2} x^{2} + 4 y^{4}

a^{4} b^{- 4} + a^{2} b^{- 2} + 1

f (x) \cdot x^{3} - 3 x^{2} + 3

(\frac{x + x ^{2}}{2})^{2}

\frac{( z ^{2} - 9 )}{( z ^{2} - 6 z + 9 )}

(\frac{2}{3} \cdot x - \frac{1}{4} \cdot y)^{2}

What is expand (5x+2y)(6x-2y)(2x-y)(2x+y) ?
The solution to expand (5x+2y)(6x-2y)(2x-y)(2x+y) is 120x^4-30x^2y^2+8x^3y-2xy^3-16y^2x^2+4y^4