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Find an expression which represents the sum of
(
4
x
−
7
y
)
(4 x-7 y)
(
4
x
−
7
y
)
and
(
−
2
x
+
y
)
(-2 x+y)
(
−
2
x
+
y
)
in simplest terms.
\newline
Answer:
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Math Problems
Grade 8
Write a linear equation from two points
Full solution
Q.
Find an expression which represents the sum of
(
4
x
−
7
y
)
(4 x-7 y)
(
4
x
−
7
y
)
and
(
−
2
x
+
y
)
(-2 x+y)
(
−
2
x
+
y
)
in simplest terms.
\newline
Answer:
Combine like terms:
To find the sum of the two expressions, we combine like terms, which means adding the coefficients of the same variable.
Combine coefficients of x:
Combine the coefficients of x:
(
4
x
)
+
(
−
2
x
)
=
4
x
−
2
x
=
2
x
(4x) + (-2x) = 4x - 2x = 2x
(
4
x
)
+
(
−
2
x
)
=
4
x
−
2
x
=
2
x
.
Combine coefficients of y:
Combine the coefficients of y:
(
−
7
y
)
+
(
y
)
=
−
7
y
+
1
y
=
−
6
y
(-7y) + (y) = -7y + 1y = -6y
(
−
7
y
)
+
(
y
)
=
−
7
y
+
1
y
=
−
6
y
.
Write final expression:
Write the final expression by combining the results from the previous steps:
2
x
−
6
y
2x - 6y
2
x
−
6
y
.
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