Answer:
Step-by-step explanation:
How to solve your problem
5
2
+
−
4
5x^{2}+x-4
5x2+x−4
Grouping
1
Use the sum-product pattern
5
2
+
−
4
5x^{2}+{\color{#c92786}{x}}-4
5x2+x−4
5
2
+
5
−
4
−
4
5x^{2}+{\color{#c92786}{5x}}{\color{#c92786}{-4x}}-4
5x2+5x−4x−4
2
Common factor from the two pairs
5
2
+
5
−
4
−
4
5x^{2}+5x-4x-4
5x2+5x−4x−4
5
(
+
1
)
−
4
(
+
1
)
5x(x+1)-4(x+1)
5x(x+1)−4(x+1)
3
Rewrite in factored form
5
(
+
1
)
−
4
(
+
1
)
5x(x+1)-4(x+1)
5x(x+1)−4(x+1)
(
5
−
4
)
(
+
1
)
(5x-4)(x+1)
(5x−4)(x+1)
Solution
(
5
−
4
)
(
+
1
)
