Zach wants to factor 3x5−81x2. He knows that the difference of cubes formula is
a3−b3=(a−b)(a2+ab+b2).

Zach decides to use the formula. First, he factors 3x2 out of the expression. Next, he identifies a and b. Finally, he factors the expression according to the formula. His work is shown here.

3x5−81x2=3x2(x3−27)
a=x; b=3
3x5−81x2=3x2(x−3)(x2+3x+9)

Part A: Which statement correctly analyzes Zach’s work?

Part B: What is the correct factorization of the polynomial 3x5−81x2?

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.

first one because it can't have a fraction in it

step-by-step explanation:

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