Divide. (24w10 + 8w12) ÷ (4w4)
A. 6w6 + 2w8
B. 6w6 + 8w12
C. 24w10 + 2w8
D. 6w10 + 2w12
24w^10 / 4w^4 = 6w^6
So it will be either A or B
8w^12 / 4w^4 = 2w^8
so, A
To divide (24w10 + 8w12) by (4w4), you need to divide each term of the dividend (24w10 + 8w12) by the divisor (4w4).
Let's start by dividing 24w10 by 4w4:
24w10 ÷ 4w4 = 6w(10-4) = 6w6
Now, let's divide 8w12 by 4w4:
8w12 ÷ 4w4 = 2w(12-4) = 2w8
Putting it all together, the division is equal to:
(24w10 + 8w12) ÷ (4w4) = 6w6 + 2w8
Therefore, the correct answer is A. 6w6 + 2w8.
To divide the expression (24w10 + 8w12) ÷ (4w4), we can use the rules of dividing monomials:
1. Divide the coefficients: Divide 24 by 4 to get 6, and divide 8 by 4 to get 2.
(6w10 + 2w12)
2. Divide the variables: For each variable, subtract the exponent of the denominator from the exponent of the numerator.
In this case, we have w10 ÷ w4, which gives us w(10-4) = w6.
And we have w12 ÷ w4, which gives us w(12-4) = w8.
So the simplified expression is:
6w6 + 2w8
Therefore, the answer is option A. 6w6 + 2w8.