Let's factor all four of these before we multiply.
x² - 25 We want two numbers that add to -25 and multiply to 0.
= (x+5)(x-5)
x² - 2x
Both terms are divisible by x.
= x(x-2)
x - 2unfactorable
x² + 5x
Both terms are divisible by x.
= x(x+5)
Now we have this:
Let's go ahead and multiply across.
Cancel out the (x+5) and (x-2) from the top and the bottom.
Answer:
a - b2
Step-by-step explanation:
STEP 1
:
Trying to factor as a Difference of Squares:
1.1 Factoring: a-b2
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.
Check : a1 is not a square !!
Ruling : Binomial can not be factored as the difference of two perfect squares
Final result :
a - b2
<u><em>HOPE THIS HELPS!</em></u>
<u><em>PLEASE MARK BRAINLIEST! :)</em></u>
Point-slope form : y-y₁=m(x-x₁)
Passes through (6, 1) and parallel to a line with slope of -3.
Simply plug everything in.
*m =slope
y - y₁=m(x-x₁)
y - 1 = -3(x - 6)
Simplify.
y - 1 = -3x + 18
Add 1 to both sides.
y = -3x + 19
~Hope I helped!~
Let, the number of books on Monday = m
On Tuesday = 2m
On Wednesday = 2m - 6
Equation: m + 2m + (2m - 6) = 19
You can solve it:
5m = 19 + 6
m = 25/5
m = 5
In short, He sold 5 books on Monday
Hope this helps!
