(-a+1)(5a+6)=

Jasonbradley

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Jun 16, 2024

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Expanding the Expression: (-a + 1)(5a + 6)

This expression involves multiplying two binomials, which can be done using the FOIL method:

First: Multiply the first terms of each binomial. Outer: Multiply the outer terms of the binomials. Inner: Multiply the inner terms of the binomials. Last: Multiply the last terms of each binomials.

Let's apply this to our expression:

(-a + 1)(5a + 6)

• F: (-a) * (5a) = -5a²
• O: (-a) * (6) = -6a
• I: (1) * (5a) = 5a
• L: (1) * (6) = 6

Now, combine the terms:

-5a² - 6a + 5a + 6

Finally, simplify by combining like terms:

-5a² - a + 6

Therefore, the expanded form of (-a + 1)(5a + 6) is -5a² - a + 6.