Factor completely 6x^4y^3 + 21x^3y^2 − 9x^2y.

3xy(2x^3y^2 + 7xy − 3x)
3x^2y(2x^2y^2 + 7xy − 3)
3x^2y3& (2x^2 + 7xy − 3)
3x^2y(2x^2y + 7xy − 3y)

hope it

step-by-step explanation:

x^(1/6) · x^(1/6) · x^(1/6)   ·x^(1/6) = x^(4/6)   since we add the exponents

4/6 can be simplified to 2/3

the simplified form is x^(2/3)

answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.