High School

Simplify this expression:

\[ 3x^2(7x^2 - 9) \]

A. \( 21x^2 - 9 \)

B. \( 21x^2 - 27x^2 \)

C. \( 21x^4 - 9 \)

D. \( 21x^4 - 27x^2 \)

Answer :

Answer:

Option D is correct.

Step-by-step explanation:

In order to simplify the given expression we should know what Distributive property of number is.

It is given by a*x (b-c ) = axb -axc

that is if a is outside of the parenthesis then a is multiplied to all the term inside one by one

here in the question outside is [tex]3x^2[/tex] and inside is [tex]7x^2[/tex] and 9.

therefore [tex]3x^2[/tex] is multiplied to both [tex]7x^2[/tex] and 9

So first term is obtained by multiplying [tex]3x^2[/tex] by [tex]7x^2[/tex] which gives

[tex]21x^4[/tex]

and second term is obtained by multiplying [tex]3x^2[/tex] by 9 we get

[tex]27x^2[/tex]

So expression is [tex]21x^4[/tex]- [tex]27x^2[/tex]