Question

(c-5)(c-6)
please answer

Answer 1

The answer is:

`\sf{c^2-11c+30}`

Work/explanation:

Remember that to multiply binomials, we use FOIL:

F = first

O = outside

I = inside

L = last

Now multiply.

The first terms are c and c.

`\sf{(c-5)(c-6)}`

`\sf{c^2}`

Next, we multiply c times -6

`\sf{-6c}`

Then, we multiply -5 times c

`\sf{-5c}`

Finally, we multiply -5 times -6

`\sf{-30}`

Put the terms together

`\sf{c^2-6c-5c+30}`

Combine like terms

`\sf{c^2-11c+30}`

Answer 2

c² - 11c + 30

Explanation:

(c - 5)(c - 6)

each term in the second factor is multiplied by each term in the first factor , that is

c(c - 6) - 5(c - 6) ← distribute parenthesis

= c² - 6c - 5c + 30 ← collect like terms

= c² - 11c + 30