Answer:
(a) By Greatest Common Factor: (27 + 45 ) = 3( 9 + 15)
(b) By distributive property: (27 + 45 ) = 9(3) + 9(5)
Step-by-step explanation:
Here, the given expression is 27 + 45 .
Now, by Prime Factorization:
27 = 3 x 3 x 3
45 = 3 x 3 x 5
Here, the 3 is the ONLY prime common factor.
So, the Greatest Common Factor = 3
⇒ (27 + 45 ) = 3( 9 + 15)
Hence, by Greatest Common Factor: (27 + 45 ) = 3( 9 + 15)
Now, by distributive property:
A( B + C) = AB + AC
Here, in the given expression:
(27 + 45 ) = 9 ( 3 + 5) = 9(3) + 9(5)
or, (27 + 45 ) = 9(3) + 9(5)
Hence, by distributive property: (27 + 45 ) = 9(3) + 9(5)
