Amir subtracted a quantity from the polynomial 3x^2+8x−16 and produced the expression x^2−4. What quantity did Amir subtract? Explain how you got your answer.

Respuesta :

Answer:

4x^2 + 8x - 20

Step-by-step explanation:

Amir subtracted a quantity

Let quantity = y

... from the polynomial 3x^2+8x−16

y - (3x^2+8x−16)

and produced the expression x^2−4

= x^2−4

What quantity did Amir subtract?

y - (3x^2+8x−16) = x^2−4

Solving for y;

y =  x^2−4 + (3x^2+8x−16)

y = x^2−4 + 3x^2+8x−16

y = 4x^2 + 8x - 20

Quantity subtracted by Amit is [tex]\boldsymbol{2x^2+8x-12}[/tex]

Algebraic Expression

In arithmetic, an expression is a sentence that includes at least two integers (known or unknown) as well as at least [tex]1[/tex] operation.

A quantity is subtracted from the polynomial [tex]3x^2+8x-16[/tex] and the result obtain is the expression [tex]x^2-4[/tex]

Quantity subtracted [tex]=(3x^2+8x-16)-(x^2-4)[/tex]

                                 [tex]=3x^2+8x-16-x^2+4\\=2x^2+8x-12[/tex]

So, quantity subtracted is [tex]\boldsymbol{2x^2+8x-12}[/tex]

Find out more information about expression here:

https://brainly.com/question/13947055?referrer=searchResults