2x(3y)
6xy
6xy is the correct answer.
Chheda
To simplify the expression 2x(3y), you distribute the 2x to both terms inside the parentheses.
So, 2x(3y) = 2x * 3y.
Multiplying the coefficients, 2 * 3 = 6.
Multiplying the variables, x * y = xy.
Therefore, 2x(3y) simplifies to 6xy.
To get the answer to the expression 2x(3y), you need to apply the distributive property. The distributive property states that if you have a number multiplied by a sum or difference inside parentheses, you can multiply the number separately by each term inside the parentheses and add or subtract the resulting products.
In this case, we have 2x multiplied by (3y). To apply the distributive property, you need to multiply 2x by both 3 and y:
2x * 3 = 6x
2x * y = 2xy
Now that we have the two products, 6x and 2xy, we can combine them to get the final answer:
6x + 2xy
Therefore, the simplified form of 2x(3y) is 6x + 2xy.