Answer
Here are the expressions written in expanded form:
a. \(28ab = 28 \times a \times b\)
c. \(7xy = 7 \times x \times y\)
e. \(9abc = 9 \times a \times b \times c\)
g. \(2xyz = 2 \times x \times y \times z\)
1. \(14mnp = 14 \times m \times n \times p\)
k. \(5ace = 5 \times a \times c \times e\)
m. \(16x = 16 \times x\)
b. \(8abc = 8 \times a \times b \times c\)
d. \(7mn = 7 \times m \times n\)
f. \(18m^2 = 18 \times m \times m\)
h. \(9a^2b = 9 \times a \times a \times b\)
j. \(8a^3 = 8 \times a \times a \times a\)
1. \(17a^2b^2 = 17 \times a \times a \times b \times b\)
n. \(28x^2y^3 = 28 \times x \times x \times y \times y \times y\)
Solution
**a. \(28ab\)**
- The expression shows multiplication of 28, \(a\), and \(b\).
- In fully “expanded” (i.e. explicit multiplication) form we can write it as
\[
28ab = 28 \times a \times b.
\]
**c. \(7xy\)**
- Here the factors are 7, \(x\), and \(y\).
- Expanded form:
\[
7xy = 7 \times x \times y.
\]
**e. \(9abc\)**
- This expression is the product of 9, \(a\), \(b\), and \(c\).
- Written in expanded form:
\[
9abc = 9 \times a \times b \times c.
\]
**g. \(2xyz\)**
- The factors are 2, \(x\), \(y\), and \(z\).
- Therefore,
\[
2xyz = 2 \times x \times y \times z.
\]
**1. \(14mnp\)**
- The expression multiplies 14, \(m\), \(n\), and \(p\).
- In expanded multiplication form:
\[
14mnp = 14 \times m \times n \times p.
\]
**k. \(5ace\)**
- The factors here are 5, \(a\), \(c\), and \(e\).
- Thus, we have:
\[
5ace = 5 \times a \times c \times e.
\]
**m. \(16x\)**
- This is simply 16 multiplied by \(x\).
- Expanded form:
\[
16x = 16 \times x.
\]
Now, write the following expressions in expanded form:
**b. \(8abc\)**
- Factors: 8, \(a\), \(b\), \(c\).
- Expanded:
\[
8abc = 8 \times a \times b \times c.
\]
**d. \(7mn\)**
- Factors: 7, \(m\), \(n\).
- Expanded:
\[
7mn = 7 \times m \times n.
\]
**f. \(18m^2\)**
- Here \(m^2\) means \(m \times m\). With the coefficient 18, we write:
\[
18m^2 = 18 \times m \times m.
\]
**h. \(9a^2b\)**
- \(a^2\) represents \(a \times a\). Therefore,
\[
9a^2b = 9 \times a \times a \times b.
\]
**j. \(8a^3\)**
- \(a^3\) means \(a \times a \times a\). Thus,
\[
8a^3 = 8 \times a \times a \times a.
\]
**1. \(17a^2b^2\)**
- Here \(a^2 = a \times a\) and \(b^2 = b \times b\). Hence,
\[
17a^2b^2 = 17 \times a \times a \times b \times b.
\]
**n. \(28x^2y^3\)**
- \(x^2\) means \(x \times x\) and \(y^3\) means \(y \times y \times y\). So,
\[
28x^2y^3 = 28 \times x \times x \times y \times y \times y.
\]
Each expression is presented as the product of its numerical coefficient and its variables in expanded form.
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