Expand and simplify (2e – 3f )(3e – 4f )

To expand and simplify the expression (2e – 3f )(3e – 4f ), you can use the distributive property, which states that a(b + c) = ab + ac.

Step 1: Distribute the terms in the first parentheses to the terms in the second parentheses.

(2e * 3e) - (2e * 4f) - (3f * 3e) + (3f * 4f)

Step 2: Multiply the terms.

6e^2 - 8ef - 9ef + 12f^2

Step 3: Combine like terms.

6e^2 - 17ef + 12f^2

So, the expanded and simplified form of (2e – 3f )(3e – 4f ) is 6e^2 - 17ef + 12f^2.