Determine the product and simplify: 1.1. $$ a\left(x^{2}+3 y\right)+a x+4 a y $$

Question

UpStudy AI · Accepted Answer

We start with the expression:
$$
a\left(x^{2}+3y\right)+ax+4ay.
$$

**Step 1.** Distribute $$a$$ into the parentheses:
$$
ax^2 + 3ay + ax + 4ay.
$$

**Step 2.** Combine like terms (the terms in $$ay$$):
$$
3ay + 4ay = 7ay.
$$

The expression simplifies to:
$$
ax^2 + ax + 7ay.
$$

**Step 3.** Factor out the common factor $$a$$:
$$
a(x^2 + x + 7y).
$$

The final simplified expression is:
$$
a(x^2 + x + 7y).
$$
The simplified expression is $$ a(x^2 + x + 7y) $$.

Determine the product and simplify:
1.1.