Question
Nova knows that
and
are a factor pair of
because
. Nova wants to find another factor pair of
.
Complete the equation.
?
Break apart one of the factors.
and
are a factor pair of
because
. Nova wants to find another factor pair of
.
Complete the equation.
?
Break apart one of the factors.
Answers
GPT-4o mini
To complete the equation, you can break apart one of the factors to find another factor pair. Let's say \( a \) and \( b \) are the original factor pair of \( c \) (i.e., \( a \times b = c \)).
Assuming we want to break apart factor \( a \):
Let's say \( a = x + y \), where \( x \) and \( y \) are new factors. Then the equation will look like this:
\((x + y) \times b = c\)
By distributing, we can rewrite this as:
\(x \times b + y \times b = c\)
This means \( x \times b \) and \( y \times b \) are also factor pairs of \( c \).
So, the completed equation can look like:
**(x + y) × b = c, where a is broken into x and y.**
Now you just need to define specific values for \( x \) and \( y \) to complete this.
Assuming we want to break apart factor \( a \):
Let's say \( a = x + y \), where \( x \) and \( y \) are new factors. Then the equation will look like this:
\((x + y) \times b = c\)
By distributing, we can rewrite this as:
\(x \times b + y \times b = c\)
This means \( x \times b \) and \( y \times b \) are also factor pairs of \( c \).
So, the completed equation can look like:
**(x + y) × b = c, where a is broken into x and y.**
Now you just need to define specific values for \( x \) and \( y \) to complete this.