For the expression n(2n+4n^2-5-3n), use the distributive property to write an equivalent

5 answers
Question:

For the expression n(2n+4n^2-5-3n), use the distributive property to write an equivalent expression in standard form

Answers

[tex]\text{distributive property:}\ a(b+c)=ab+ac\\\\2n+4n^2-5-3n=4n^2+(2n-3n)-5=4n^2-n-5\\\\n(2n+4n^2-5-3n)=n(4n^2-n-5)=(n)(4n^2)+(n)(-n)+(n)(-5)\\\\=\boxed{4n^3-n^2-5n}[/tex]

[tex]4x^3-x^2-5x[/tex]

Step-by-step explanation:

Let [tex]a,b,c,d\in \mathbb R[/tex], then the distributive property states that:

[tex]a(b+c+d+e)=ab+ac+ad+ae[/tex]

The given expression is [tex]x(2x+4x^2-5-3x)[/tex]

We apply the distributive property to get:

[tex]2x*x+4x^2*x-5*x-3x*x)[/tex]

[tex]2x^2+4x^3-5x-3x^2[/tex]

Combine like terms

[tex]4x^3-5x-3x^2+2x^2[/tex]

Simplify:

[tex]4x^3-5x-x^2[/tex]

Write in descending powers of x.

[tex]4x^3-x^2-5x[/tex]....This is the standard form

Just multiply 2 to every value inside the parentheses, the answer is 8x2 - 2x - 10

It comes out of vehicles which pollutes the air

Y=3x+1 so the first one
[tex]Me answer this question question 2) select the function that matches the graph[/tex]

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