This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Here are the solutions to the remaining questions: 1.3 Write the expression 3a^2b + 4ab^2 as an equivalent algebraic expression. Step 1: Identify the Highest Common Factor (H.C.F.) of 3a^2b and 4ab^2. From the previous question (1.2), the H.C.F. is ab. Step 2: Factor out the H.C.F. from each term. 3a^2b + 4ab^2 = ab(3a) + ab(4b) Step 3: Write the expression with the H.C.F. factored out. ab(3a + 4b) The equivalent algebraic expression is ab(3a + 4b). 1.3 Lucy is given the expression below: 7x + 35. Explain to Lucy how to find the equivalent expression. To find an equivalent expression for 7x + 35, Lucy needs to factorize it by following these steps: Step 1: Find the greatest common factor (GCF)* of all terms in the expression. For 7x and 35, the GCF is 7. Step 2: Divide each term in the original expression by the GCF. This gives 7x ÷ 7 = x and 35 ÷ 7 = 5. Step 3: Write the GCF outside a set of parentheses, and place the results from Step 2 inside the parentheses, connected by the original operation. So, 7x + 35 becomes 7(x + 5). Last free one today — make it count tomorrow, or type /upgrade for unlimited.