Question

Apply the distributive property to factor out the greatest common factor.
16+36=16+36=

Answer 1

Answer:

4(4+9)

Step-by-step explanation:

1. To find the GCF, factor all numbers involved, which in this case would be 16 and 36. Factors of 16: 2×2×2×2 or 2⁴; Factors of 36: 2×2×3×3 or 2²×3².
2. Find the number(s) they have in common, which in this case would be 2×2 or 2² or simply 4. It’s this number because that is the highest number that they are both divisible by—they both have two twos or two squared.
3. Divide both numbers by 4. 16÷4=4 and 36÷4=9.
4. 16+36 is the same as 4×4+4×9.
5. My math teacher has told me multiple times “Mathematicians are lazy.” To conserve space, time, and energy, it is written as 4(4+9). The distrubutive property means that both the 4 and 9 will multiplied by 4.