Show all work to factor x4 − 10x2 + 9 completely.

Given:

The expression is

To find:

The factors of given expression.

Solution:

We have,

Put ,

Splitting the middle term, we get

Put ,

Therefore, the factored form of given expression is .

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.

it is true

step-by-step explanation:

all the combinations add up i used   calculator