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(6 + 5a)(7 - 5b)

Multiply (6 + 5a) * (7 - 5b)

Note: This is a special expansion which uses FOIL: (First-Outside-Inside-Last)
1: Multiply 6 by each term in 7 - 5b

1.1: Multiply 6 * 7

Group constants and powers

(6 * 7)

42

1.2: Multiply 6 * -5b

Group constants and powers

(6 * -5)(b¹)

-30b

2: Multiply 5a by each term in 7 - 5b

2.1: Multiply 5a * 7

Group constants and powers

(5 * 7)(a¹)

35a

2.2: Multiply 5a * -5b

Group constants and powers

(5 * -5)(a¹b¹)

-25ab

Step 1 answer = 42 - 30b + 35a - 25ab

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Group all like terms

42 - 30b + 35a - 25ab

Final Answer