Question

Question 4 of 5 Use the GCF and the distributive property to find the expression that is equivalent to 27 + 36. O A. 9(3+3) OB. 2(9 + 18 O c. 3(9 +12) O D. 9(3+4) SUE

Answer 1

The distributive property indicates that, the multiplication is distrubuted to the terms within the brackets.

Here,

27+36

The first step in factorising is to look for any common factors.

27 and 36 are both multiples of 3 and 9.

As 9 if the highest among them, let us take 9.

So, dividing by 9,

$27+36=9(3+4)$

We can check the reverse by distrubutive property, as,

$9(3+4)=9\times3+9\times4=27+36$

So the option D is correct.