rewrite the sum in the form a(b+c) such that integers b and c have no common factor
99+33
To rewrite 99 + 33 in the form a(b+c) without common factors, we first need to find the greatest common factor (GCF) of 99 and 33.
The factors of 99 are 1, 3, 9, 11, 33, and 99.
The factors of 33 are 1, 3, 11, and 33.
The common factors of 99 and 33 are 1, 3, and 33. Since these common factors are present, we cannot rewrite the sum without common factors.
Therefore, 99 + 33 is its simplest form as the sum of two integers.
To rewrite the sum 99 + 33 in the form a(b + c) without any common factor between integers b and c, we can proceed as follows:
First, we find the greatest common divisor (GCD) of 99 and 33. The GCD of 99 and 33 is 33.
Next, we divide both 99 and 33 by their GCD of 33:
99 ÷ 33 = 3
33 ÷ 33 = 1
Therefore, we can rewrite 99 + 33 as:
99 + 33 = 33 * 3 + 33 * 1
Notice that b = 3 and c = 1 have no common factors other than 1. So, we can write the sum in the form a(b + c) as:
99 + 33 = 33(3 + 1)