Find the Greatest Common Factor (GCF)
GCF = 4
Factor out the GCF. (Write the GCF first, then in parenthesis, divide each term by the GCF)
4(16w^4/4 + 16w^2/4 - 140/4)
Simplify each term in parenthesis
4(4w^4 + 4w^2 - 35)
Split the second term in 4w^4 + 4w^2 - 35 into two terms
4(4w^4 + 14w^2 - 10w^2 - 35)
Factor out common terms in the first two terms, then in the last two terms.
4(2w^2(2w^2 + 7) - 5(2w^2 + 7))
Factor out the common term 2w^2 + 7
= 4(2w^2 + 7)(2w^2 - 5)