(5c-9)(5c+1)
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25c^2 - 40c - 9
you just FOIL it! (first, outside, inside, last) multiply it over in an arc shape....the first number of the first () times the first number of the second (), and so on and so forth!
To simplify the expression (5c-9)(5c+1), we will use the distributive property.
The distributive property states that for any three numbers a, b, and c, the product of a and the sum of b and c is equal to the sum of the products of a and b, and a and c. In other words, a(b + c) = ab + ac.
Applying the distributive property to the given expression, we have:
(5c - 9)(5c + 1) = (5c)(5c) + (5c)(1) + (-9)(5c) + (-9)(1)
Multiplying each term, we get:
= 25c^2 + 5c - 45c - 9
Combining like terms, we have:
= 25c^2 - 40c - 9
Therefore, the simplified expression is 25c^2 - 40c - 9.