Evaluate (2x+3y)(5a+6b)

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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 x terms:
2x ← There is only one x term

Evaluate the y5 terms:
3y5 ← There is only one y5 term

Evaluate the a terms:
a ← There is only one a term

Evaluate the b terms:
6b ← There is only one b term

Combining all like terms, we get:
6b + a + 3y + 2x

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

Analyze Term 1
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
Analyze Term 2
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
Analyze Term 3
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
Analyze Term 4
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
Determine the Degree of the Polynomial: