Expansion

Correct answer: C. \(5m-7\)

Explanation: In \(5m-7\), there is no bracket, power of a binomial, or outside factor left to distribute, so it is already in expanded form. The expressions \(3(x+2)\) and \(x(y+4)\) can be expanded using the distributive property, while \((a+b)^2\) can also be expanded. Exam tip: An expanded expression is usually written as separate terms with no brackets left to multiply out.

Correct answer: A. 3a − 6

Explanation: Using the distributive property, multiply 3 by each term inside the bracket: 3 × a + 3 × (−2) = 3a − 6. Therefore, option A is correct. In option B, 3 has not been multiplied by −2, while option D incorrectly changes the negative sign to a positive sign. Exam tip: when expanding a bracket, multiply the outside factor by every term inside it.