Questions: Multiply. Write the answer in lowest terms. [ frac(a+b)^25 cdot frac603(a+b)= ]

Solution Steps

To simplify the given expression, first multiply the numerators and the denominators separately. Then, simplify the resulting fraction by canceling out common factors in the numerator and the denominator. Finally, express the result in its lowest terms.

We start with the expression: \[ \frac{(a+b)^{2}}{5} \cdot \frac{60}{3(a+b)} \] We can rewrite this as: \[ \frac{(a+b)^{2} \cdot 60}{5 \cdot 3(a+b)} \]

Next, we simplify the expression by canceling out the common factor \((a+b)\) in the numerator and denominator: \[ \frac{(a+b) \cdot 60}{5 \cdot 3} \] This simplifies to: \[ \frac{60(a+b)}{15} = 4(a+b) \]

Final Answer