Answer:
B. 10x⁷y⁵
Step-by-step explanation:
* Write first the problem in expression form to further understand.
(√4x⁷y⁵) (3x²√x³y⁵ + 2xy√x⁵y³)
* Simplify so that we can determine if some terms can be combined.
√4x⁷y⁵ becomes 2x³y²√xy
3x²√x³y⁵ becomes 3x³y²√xy
Lastly, 2xy√x⁵y³ becomes 2x³y²√xy
The problem can be now expressed as
(2x³y²√xy) (3x³y²√xy + 2x³y² √xy)
* In the expression, since (3x³y²√xy + 2x³y² √xy) has similar radicals they can be added making the expression 5x³y²√xy.
* Last step, Multiply (2x³y²√xy) and (5x³y²√xy)
10x⁶y⁴√x²y² • √x²y² is equal to xy.
10x⁷y⁵
Copyright © 2024 EHUB.TIPS team's - All rights reserved.
Answers & Comments
Answer:
B. 10x⁷y⁵
Step-by-step explanation:
* Write first the problem in expression form to further understand.
(√4x⁷y⁵) (3x²√x³y⁵ + 2xy√x⁵y³)
* Simplify so that we can determine if some terms can be combined.
√4x⁷y⁵ becomes 2x³y²√xy
3x²√x³y⁵ becomes 3x³y²√xy
Lastly, 2xy√x⁵y³ becomes 2x³y²√xy
The problem can be now expressed as
(2x³y²√xy) (3x³y²√xy + 2x³y² √xy)
* In the expression, since (3x³y²√xy + 2x³y² √xy) has similar radicals they can be added making the expression 5x³y²√xy.
* Last step, Multiply (2x³y²√xy) and (5x³y²√xy)
10x⁶y⁴√x²y² • √x²y² is equal to xy.
10x⁷y⁵