Yulia

2020-12-24

Determine whether each statement makes sense or does not make sense, and explain your reasoning. Although $20{x}^{3}$ appears in both $20{x}^{3}+8{x}^{2}and20{x}^{3}+10x$ , I’ll need to factor $20{x}^{3}$ in different ways to obtain each polynomial’s factorization?

Velsenw

Skilled2020-12-25Added 91 answers

Step 1

Determine whether each statement makes sense or does not make sense, and explain your reasoning. Although$20{x}^{3}$ appears in both $20{x}^{3}+8{x}^{2}$ and $20{x}^{3}+10x$ , I’ll need to factor $20{x}^{3}$ in different ways to obtain each polynomial’s factorization?

Step 2

We are given two expressions:

$20{x}^{3}+8{x}^{2}$

and$20{x}^{3}+10x$

if we factorize them,

$20{x}^{3}+8{x}^{2}=4{x}^{2}(5x+2)$

and$20{x}^{3}+10x=10x(2{x}^{2}+1)$

We see that factorization depends on each term of the expression, so although both expressions contain one common term, because of the other term both have different ways.

Determine whether each statement makes sense or does not make sense, and explain your reasoning. Although

Step 2

We are given two expressions:

and

if we factorize them,

and

We see that factorization depends on each term of the expression, so although both expressions contain one common term, because of the other term both have different ways.

$\frac{20b}{{\left(4{b}^{3}\right)}^{3}}$

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