Question

A(x+2y)+(x+2y)^2
please solving​

Answer 1

To solve this expression, we need to use the distributive property first and then simplify the resulting expression by expanding the square term. Here are the steps:

a(x+2y) + (x+2y)^2
= ax + 2ay + (x^2 + 4xy + 4y^2) (using the formula (a+b)^2 = a^2 + 2ab + b^2)
= x^2 + (2a+4y)x + 4ay + 4y^2 (rearranging the terms)

Therefore, the simplified expression is x^2 + (2a+4y)x + 4ay + 4y^2.

Answer 2

To solve this expression, we can first simplify the expression inside the parenthesis by combining like terms:

(x + 2y) + (x + 2y)^2 = (x + 2y) + x^2 + 4xy + 4y^2

Now we can distribute the A to each term inside the parenthesis:

A(x + 2y) + A(x^2 + 4xy + 4y^2)

Next, we can simplify each term:

A(x + 2y) = Ax + 2Ay

A(x^2 + 4xy + 4y^2) = Ax^2 + 4Axy + 4Ay^2

Putting these simplified terms back together, we get:

Ax + 2Ay + Ax^2 + 4Axy + 4Ay^2

This is the final simplified expression.