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The sum of two numbers is 6x+9y. If one number is twice the other, what is their product?

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Mlcparra16id
Let the first number be a and the second be 2a

a + 2a = 6x + 9y
3a = 6x + 9y
a = 2x + 3y

The product of the two would be 2a²
2a² = 2(2x + 3y)² = 2(4x² + 12xy + 9y²) = 8x² + 24xy + 18y²

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