Ive been stuck on these math questions for a whilenow. 36x^2-16y^4 (factor) and 25x^3y^8-35x^4y^5(factor) ?

Question

can someone please help!

Answer 1

36x² - 16y⁴

= 4(3x + 2y²)(3x - 2y²)

25x³y^8 - 35x⁴y^5

= 5x³y^5(5y^3 - 7x)

Answer 2

for the second, take out the GCF first:

5x^3y^5(5y^3 - 7x)

that looks like it!

the first is a difference of squares:

36 = 6^2

16 = 4^2

y^4 = (y^2)^2

difference of squares factor as (a - b)(a + b) = a^2 - b^2

so (6x - 4y^2)(6x + 4y^2)

but you can take a factor of 2 out of each, to give:

4(3x - 2y^2)(3x + 2y^2)

Answer 3

both problems are pretty simple

1st problem: 36x^2 - 16y^4



4(9x^2 - 4y^4) = 4(3x - 2y^2)(3x + 2y^2)

2nd problem: 25x^3y^8 - 35x^4y^5

=   5x^3y^5(5y^3 - 7x)