Question

Expand:3(×+2y)+4(2×-y)​

Answer 1

11x + 2y

Explanation:

Expand the equation:

3(x + 2y) + 4(2x - y)

Multiply 3, by x & by 2y:

3(x + 2y) ===> 3x + 6y

Then, multiply 4, by 2x & by -y:

4(2x - y) ===> 8x - 4y

Finally, you add/subtract the two results from the parenthesis:

3x + 6y + 8x - 4y ===> 11x + 2y

Your final expanded result will be: 11x + 2y.

Answer 2

To expand the expression 3(×+2y)+4(2×-y), we need to distribute the coefficients 3 and 4 to the terms in the parentheses:

3(×+2y)+4(2×-y)

= 3× + 3(2y) + 4(2×) - 4y (using the distributive property)

= 3× + 6y + 8× - 4y (combining like terms)

= (3× + 8×) + (6y - 4y)

= 11× + 2y

Therefore, the expanded form of the expression 3(×+2y)+4(2×-y) is 11× + 2y.