15x^2 - 25 answer with a complete sentence
1 answer:
Answer:
No, the following expression is not a difference of squares. Binomial can not be factored as the difference of two perfect squares. 3 is not a square.
Step-by-step explanation:
Factor
15x^2 - 25
(15x)^2(-5)^5
Divide by 3 and factor
5(3x^2-5)
"Theory:
A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression."
I put a picture to help u understand.
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Slope intercept form: y = mx + b
mx = slope
b = y-intercept
We know the y intercept is 0, so nothing will be written there.
To find the slope of this line, we can use the slope formula.
We'll use the points (1, 0) and (3, 1) to find the slope.
Now we can just plug these values into the equation to find the slope.
1 - 0 / 3 - 1
1 / 2
The slope of the line is 1/2, or 0.5.
The slope-intercept form of this line can be written as:
y = 0.5x