Question

Perform the indicated operation. 3a3x(4a2bcx3)

Answer 1

When you multiply you add exponents on like terms and multiply coefficients. The 3 is the coefficient of a^3x and 4 is the coefficient of a^2bcx^3. The a's are like terms and x's are like terms. There is only one use of b and c. So, multiplying coefficients -- 3*4 =12. Multiplying a^3 times a^2 equals a^5, and x times x^3 equals x^4. Answer is 12a^5bcx^4.

Answer 2

We are given expression:
`3a^3x(4a^2bcx^3)`

3a^3x is in front of Parenthesis.

So, we need to apply multiplication operation there.

We need to multiply like terms( numbers by number and variables by variables).

First we multiply 3 * 4, it gives 12.

Now, a^3 * a^2. In order to multiply a^3 * a^2, we need to apply product rule of exponents.

According to product rule of exponents, when bases are same, we just need to add the exponents by keeping same base.

Therefore,
`a^3*a^2=a^(3+2)`=
`x^5`

On the same way, we can apply apply product rule of exponents on multiplication of

x and x^3.

`x * x^3 = x^(1+3) = x^4.`

Therefore, final answer would be

`3a^3x(4a^2bcx^3)=12a^5bx^4`.