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x^2 -20x + 100

Step-by-step explanation:

How this works is that you multiply each number by every other number, so.

(x+a)(x+b) so you do x times x since the parenthesis multiplies them together. Then you do x times b.

Then you do a times x since a is the next number in the first pair. then you do a times b.

(* is the sign for multiplication for the sake of simplifying it and to be easier than doing something like x x x where you are multiplying x together with x.)

So in the expression (x + a)(x + b) you are basically doing

x * x            +         x * b           +        a * x        +          a * b

In your case, a is = to -10 and b is equal to -10

So your expression would be

x * x    +   x * -10    +    -10 * x     +    -10 * -10

so x times x is x^2 and x times -10 is -10x     You are doing -10 * x twice so it is -20x and -10 times -10 is 100

So the final equation would be x^2 plus -20x plus 100 or

x^2 + (-20x)  + 100

which is

x^2 -20x + 100

Hope this helps!

c

step-by-step explanation:

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