Combine like terms for (2x + 3y)(5a + 6b)

We first need to simplify the expression removing parentheses

Remove the parentheses since no simplification is required

2x + 3y5a + 6b

Evaluate the

2x ← There is only one x term

Evaluate the

3y5 ← There is only one y5 term

Evaluate the

a ← There is only one a term

Evaluate the

6b ← There is only one b term

Analyze the 4 terms of the polynomial 6b + a + 3y + 2x

Term 1 is 6b

Our coefficient/constant is the number our term begins which is 6

Our variable is the letter which is b

No exponent exists for this term

Term 2 is a

Since there is no coefficient before our variable, (term does not start with a number), our coefficient is 1

Our variable is the letter which is a

No exponent exists for this term

Term 3 is 3y

Our coefficient/constant is the number our term begins which is 3

Our variable is the letter which is y

No exponent exists for this term

Term 4 is 2x

Our coefficient/constant is the number our term begins which is 2

Our variable is the letter which is x

No exponent exists for this term