help me quick...........
Answers
Answer:
(b) (a-b)^2 = a^2 -2ab +b^2
Step-by-step explanation:
a. 3 x^2-14 x+8
= 3x^2 -12x - 2x +8
=3x(x-4) - 2(x-4)
=(3x-2) (x-4)
b. Since both terms are perfect squares, factor using the difference of squares formula,
a
2
−
b
2
=
(
a
+
b
)
(
a
−
b
)
where
a
=
a
+
b
and
b
=
a
−
b
.
(
a
+
b
+
a
−
b
)
(
a
+
b
−
(
a
−
b
)
)
Simplify.
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Add
a
and
a
.
(
2
a
+
b
−
b
)
(
a
+
b
−
(
a
−
b
)
)
Subtract
b
from
b
.
(
2
a
+
0
)
(
a
+
b
−
(
a
−
b
)
)
Add
2
a
and
0
.
2
a
(
a
+
b
−
(
a
−
b
)
)
Apply the distributive property.
2
a
(
a
+
b
−
a
−
−
b
)
Multiply
−
−
b
.
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2
a
(
a
+
b
−
a
+
b
)
Subtract
a
from
a
.
2
a
(
b
+
0
+
b
)
Add
b
and
0
.
2
a
(
b
+
b
)
Factor.
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2
a
⋅
2
b
Multiply
2
by
2
.
4
a
b
c. Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(
x
2
+
x
y
)
−
2
x
−
2
y
Factor out the greatest common factor (GCF) from each group.
x
(
x
+
y
)
−
2
(
x
+
y
)
Factor the polynomial by factoring out the greatest common factor,
x
+
y
.
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