how to solve (7y5)(2y8+7y6)
Solve `7y^5 (2y^8+7y^6)`
`7y^5*2y^8 + 7y^5* 7y^6`
When multiplying exponents with the same base the rule is to add the exponents.
(i.e. `a^2*a^3 = a^5)`
Now apply this rule:
`14y^13 + 49y^11`
Can't add unless variables are the same degree.
The solution is `14y^13 + 49y^11.`
`( 7y^5 )( 2y^8 + 7y^6)`
To solve this the distributive property is applied here i.e. 7y^5 is multiplied by both values in the second bracket in order to open the brackets (7 is multiplied by 2 and then the powers are added, then 7 is multiplied by 7 and the powers are added):
`14y^13 + 49y^11` Answer.