Which expressions are equivalent to 2 ( b + 3 c ) 2(b+3c)2, left parenthesis, b, plus, 3, c, right parenthesis ? Choose all answers that apply:

2(b + 3c)²(b + 3c)² is equivalent to

2b^4 + 8b³c + 12b²c² + 8b²c³ + 2c^4

Step-by-step explanation:

The expression

2(b + 3c)²(b + 3c)²

Is equivalent to the expression

2(b + 3c)^4

This can be further expanded using the Pascals triangle as

2(b^4 + 4b³c + 6b²c² + 4b²c³ + c^4)

= 2b^4 + 8b³c + 12b²c² + 8b²c³ + 2c^4

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc