Pregunta
etermine the product and simplify: \[ a\left(x^{2}+3 y\right)+a x+4 a y \]
Ask by Zimmerman Harmon. in South Africa
Mar 12,2025
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The simplified expression is \( ax^{2} + ax + 7ay \).
Solución
We start with the expression:
\[
a\left(x^{2}+3y\right)+ax+4ay
\]
**Step 1: Distribute \( a \)**
\[
a\left(x^{2}+3y\right) = ax^{2} + 3ay
\]
**Step 2: Combine like terms**
Now substitute back:
\[
ax^{2} + 3ay + ax + 4ay
\]
Combine the \( y \) terms:
\[
3ay + 4ay = 7ay
\]
Thus, the expression simplifies to:
\[
ax^{2} + ax + 7ay
\]
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Simplifique esta solución Bonus Knowledge
To determine the product and simplify the expression \( a\left(x^{2}+3 y\right)+a x+4 a y \), we start by distributing \( a \): \[ a\left(x^{2}+3 y\right) = a x^{2} + 3 a y \] Now we can rewrite the entire expression by substituting this back in: \[ a x^{2} + 3 a y + a x + 4 a y \] Combine like terms. The terms with \( y \) can be combined: \[ 3 a y + 4 a y = 7 a y \] Thus, the simplified expression becomes: \[ a x^{2} + a x + 7 a y \] This is the final simplified form of the expression.
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