You are using an out of date browser. It may not display this or other websites correctly.
You should upgrade or use an alternative browser.
You should upgrade or use an alternative browser.
Factor a^2 - b^2 + 25 +10a
- Thread starter mrolive
- Start date
D
Deleted member 4993
Guest
Factor a^2 - b^2 + 25 +10a
Could someone explain to me what the approach is to factor this equation?
a^2 - b^2 + 25 +10a = (a^2 + 5^2 +2 * 5 * a) - b^2
Now continue....
a^2 - b^2 + 25 +10a = (a^2 + 5^2 +2 * 5 * a) - b^2
Now continue....
How did you get that?
D
Deleted member 4993
Guest
How did you get that?
I am not sure - what do you mean ( that what??)!!
It was given to you...
It's a simple rearrangement of the terms in the equation. You were given the following:
a^2 - b^2 + 25 +10a
You'll agree that 25 is 5 squared, and 10 is 5 times 2, yes? So make those replacements:
a^2 - b^2 + 5^2 + (5*2)a
And because addition and subtraction are commutative (i.e. they can be done in any order without effecting the answer), you can rearrange the terms:
a^2 + (5*2)a + 5^2 - b^2
Now you've got a quadratic in a. So, as Subhotosh Khan said, "Continue..."
a^2 - b^2 + 25 +10a
You'll agree that 25 is 5 squared, and 10 is 5 times 2, yes? So make those replacements:
a^2 - b^2 + 5^2 + (5*2)a
And because addition and subtraction are commutative (i.e. they can be done in any order without effecting the answer), you can rearrange the terms:
a^2 + (5*2)a + 5^2 - b^2
Now you've got a quadratic in a. So, as Subhotosh Khan said, "Continue..."
How did you get that?
Rearrange the expression
a^2 - b^2 + 25 +10a = a^2 + 10a + 25 - b^2 = (a^2 + 10a + 25) - b^2