Answer:
15a⁴b²-20a³b³+30a²b⁴
Step-by-step explanation:
3a²-4ab+6b²
so for 5a²b²
(5a²b²)(3a²-4ab+6b²)
=15a⁴b²-20a³b³+30a²b⁴
By applying the distributive property, 5a²b² × (3a²- 4ab + 6b²) = 15a⁴b² - 20a³b³ + 30a²b⁴
Given the expression: 5a²b² × (3a²- 4ab + 6b²)
We would apply the distributive property by multiplying every term inside the parentheses by 5a²b².
This can be done as shown below:
5a²b² × (3a²- 4ab + 6b²) = 5a²b²(3a²) - 5a²b²(4ab) + 5a²b²(6b²)
5a²b² × (3a²- 4ab + 6b²) = 15a⁴b² - 20a³b³ + 30a²b⁴
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