Step-by-step explanation:
How to solve your problem
2
2
−
6
−
8
2x^{2}-6x-8
2x2−6x−8
Grouping
1
Common factor
2
2
−
6
−
8
2x^{2}-6x-8
2x2−6x−8
2
(
2
−
3
−
4
)
2(x^{2}-3x-4)
2(x2−3x−4)
2
Use the sum-product pattern
2
(
2
−
3
−
4
)
2(x^{2}{\color{#c92786}{-3x}}-4)
2(x2−3x−4)
2
(
2
+
−
4
−
4
)
2(x^{2}+{\color{#c92786}{x}}{\color{#c92786}{-4x}}-4)
2(x2+x−4x−4)
3
Common factor from the two pairs
2
(
2
+
−
4
−
4
)
2(x^{2}+x-4x-4)
2(x2+x−4x−4)
2
(
(
+
1
)
−
4
(
+
1
)
)
2(x(x+1)-4(x+1))
2(x(x+1)−4(x+1))
4
Rewrite in factored form
2
(
(
+
1
)
−
4
(
+
1
)
)
2(x(x+1)-4(x+1))
2(x(x+1)−4(x+1))
2
(
−
4
)
(
+
1
)
2(x-4)(x+1)
2(x−4)(x+1)
Solution
2
(
−
4
)
(
+
1
)
