Question

factor 16a^2-4b^2

Answer 1

16a^2-4b^2 = (4a)^2 - (2b)^2

now use the formula
x^2 - y^2 = (x-y)(x+y)

Answer 2

can you do it?

Answer 3

can you help

Answer 4

for this formula x^2 - y^2 = (x-y)(x+y)
here we have x=4a and y=2b

so 16a^2-4b^2 = (4a)^2 - (2b)^2= (4a-2b)(4a+2b)
= 4(2a-b)(2a+b)

Answer 5

16a^2 = (4a)^2
4b^2 = (2b)^2

since there are only 2 terms with a negative operator between them... its simply

(4a - 2b)(4a + 2b)

Answer 6

16a^(2)-4b^(2)

Factor out the GCF of 4 from the expression 16a^(2).
4(4a^(2))-4b^(2)

Factor out the GCF of 4 from the expression -4b^(2).
4(4a^(2))+4(-b^(2))

Factor out the GCF of 4 from 16a^(2)-4b^(2).
4(4a^(2)-b^(2))

The binomial can be factored using the difference of squares formula, because both terms are perfect squares. The difference of squares formula is a^(2)-b^(2)=(a-b)(a+b).
4(2a-b)(2a+b)