Question

Multiply...

Answer 1

\[\large (3x^2 + 3\sqrt{3x^2})(3x + \sqrt{3x^3})\]

Answer 2

\(\large\color{black}{ \displaystyle 3x^2\times 3x={~?} }\)

\(\large\color{black}{ \displaystyle 3x^2\times \sqrt{3x^3}={~?} }\)

\(\large\color{black}{ \displaystyle 3\sqrt{3x^2}\times 3x={~?} }\)

\(\large\color{black}{ \displaystyle 3\sqrt{3x^2}\times \sqrt{3x^3}={~?} }\)

Answer 3

Gimme a moment.

Answer 4

you can simplify each component

\(\large\color{black}{ \displaystyle 3x^2\times 3x={~?} }\)

\(\large\color{black}{ \displaystyle 3x^2\times x\sqrt{3x}={~?} }\)

\(\large\color{black}{ \displaystyle 3x\sqrt{3}\times 3x={~?} }\)

\(\large\color{black}{ \displaystyle 3x\sqrt{3}\times x\sqrt{3x}={~?} }\)

Answer 5

\[\large 3x^2 \times 3x = 9x^3\]
\[\large 3x^2 \times 3x^3 = 9x^5\]
\[\large 3\sqrt{3x^2} \times 3x = 9x^2\sqrt{3}\]
\[\large 3\sqrt{3x^2} \times 3x^3 = 9x^4\sqrt{3}\]

Answer 6

yes, now add them all, and that is your answer.

Answer 7

See why you have to add them all?

Answer 8

\[\large 9x^3 + 9x^5 + 9x^2\sqrt{3} + 9x^4\sqrt{3}\]

Answer 9

The answer key says:
\[\large 3x + x \sqrt{3x} + 3\sqrt{3}+3\sqrt{x}\]

Answer 10

oh, you didn't multiply the correct things.
And that is because you miss-written the terms.

Answer 11

\(\large\color{black}{ \displaystyle 3x^2\times 3x=3x^3 }\)

\(\large\color{black}{ \displaystyle 3x^2\times \sqrt{3x^3}=3x^3 \sqrt{3x} }\)

\(\large\color{black}{ \displaystyle 3\sqrt{3x^2}\times 3x=9x^2\sqrt{3} }\)

\(\large\color{black}{ \displaystyle 3\sqrt{3x^2}\times \sqrt{3x^3}=9x^2\sqrt{x} }\)

Answer 12

andin addition either the answer key or the problem was incorrect.

Answer 13

oh okay thanks :)

Answer 14

yw