Multiply two binomials

An expression is given.

(2x + 8)(5x - 7)

Which expression is equivalent to the given expression?
​A.) 36x - 56
B.) 10x² - 56
​C.) 10x² + 26x - 56
​D.) 10x² + 54x + 56

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Use the FOIL method or distributive property.
- when multiplying two binomials, the FOIL method does the same thing as the distributive property

(2x + 8)(5x - 7)
= 2x(5x) + 2x(-7) + 8(5x) + 8(-7) {used FOIL method or distributive property}
= 10x² - 14x + 40x - 56 {multiplied through}
= 10x² + 26x - 56 {combined like terms}

C.) 10x² + 26x - 56

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