Simplify (√3 + √5) (√3 − √5)

Step-by-step explanation:

WE can see it is in the from of

=

So Now

=

= 3 - 5

= - 2

Hope it helps;)

-2

Step-by-step explanation:

In order to expand this, we need to use FOIL (first, outer, inner, last).

The first term for each expression is √3, so we multiply those together first:

(√3) * (√3) = 3

The outer term for the first expression is √3 and the outer term for the second equation is -√5, so multiply these next:

(√3) * (-√5) = -√15

The inner term for the first expression is √5 and the inner term for the second equation is √3, so multiply these:

(√5) * (√3) = √15

The last term for the first expression is √5 and the last term for the second equation is -√5, so finally, multiply these:

(√5) * (-√5) = -5

Now, add all these together:

3 + (-√15) + √15 + (-5) = 3 - 5 = -2

The answer is -2.

Hope this helps!

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

80π/3 or about 83.775

step-by-step explanation:

since a cone is 1/3 of a cylinder, we need to find the base's area. since area = πr^2, we get 16π. then, multiplying this by 5, we get 80π. dividing by 3, since the cone's volume is 1/3 of that of a cylinder's, we get 80π/3.

hope this !