What is expand (2x+5y-3z)(2x+5y+3z) ?

The solution to expand (2x+5y-3z)(2x+5y+3z) is 4x^2+20xy+25y^2-9z^2

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expand (2x+5y-3z)(2x+5y+3z)

expand

(2 x + 5 y - 3 z) (2 x + 5 y + 3 z)

4 x^{2} + 20 x y + 25 y^{2} - 9 z^{2}

Solution steps

(2 x + 5 y - 3 z) (2 x + 5 y + 3 z)

Distribute parentheses

= 2 x \cdot 2 x + 2 x \cdot 5 y + 2 x \cdot 3 z + 5 y \cdot 2 x + 5 y \cdot 5 y + 5 y \cdot 3 z - 3 z \cdot 2 x - 3 z \cdot 5 y - 3 z \cdot 3 z

Simplify

2 x \cdot 2 x + 2 x \cdot 5 y + 2 x \cdot 3 z + 5 y \cdot 2 x + 5 y \cdot 5 y + 5 y \cdot 3 z - 3 z \cdot 2 x - 3 z \cdot 5 y - 3 z \cdot 3 z : 4 x^{2} + 20 x y + 25 y^{2} - 9 z^{2}

= 4 x^{2} + 20 x y + 25 y^{2} - 9 z^{2}

\frac{1}{5 - 2}

\frac{- 56}{( - 8 )}

(a^{2} - 2 a + 3) (a^{2} + 2 a + 3)

\frac{16}{22}

What is expand (2x+5y-3z)(2x+5y+3z) ?
The solution to expand (2x+5y-3z)(2x+5y+3z) is 4x^2+20xy+25y^2-9z^2