Questions: Multiply. Write the answer in lowest terms.
[
frac(a+b)^25 cdot frac603(a+b)=
]
Transcript text: Multiply. Write the answer in lowest terms.
\[
\frac{(a+b)^{2}}{5} \cdot \frac{60}{3(a+b)}=
\]
Solution
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.
Step 1: Multiply the Expressions
We start with the expression:
5(a+b)2⋅3(a+b)60
We can rewrite this as:
5⋅3(a+b)(a+b)2⋅60
Step 2: Simplify the Expression
Next, we simplify the expression by canceling out the common factor (a+b) in the numerator and denominator:
5⋅3(a+b)⋅60
This simplifies to:
1560(a+b)=4(a+b)