165k views
3 votes
Factor completely 49q^4 - 4​

User Ingham
by
5.1k points

2 Answers

1 vote

Explanation:

49q^4-4

(7q^2)^2-(2)^2

(7q^2+2)(7q^2-2)

User Eliran Malka
by
4.5k points
1 vote

Rewrite it in the form a^2 - b^2, where a = 7q^2 and b = 2

(7q^2)^2 - 2^2

Use the Difference of Squares; a^2 - b^2 = (a + b)(a - b)

= (7q^2 + 2)(7q^2 - 2)

User Felix K Jose
by
4.5k points