Question

solve using factorization by using identities.
1. 36x^6–25y^6
2. 128ax^2–242ay^2

Answer 1

Answer:

Step-by-step explanation:

$1. 36x^6 - 25y^6\\=(6x^{3})^{2}-(5y^{3} )^{2} \\=(6x^{3}+5y^{3}) (6x^{3}-5y^{3})$

$2. 128ax^2-242ay^2\\=2a(64x^{2} -121y^{2})\\=2a[(8x)^{2}-(11 y)^{2} ]\\=2a(8x-11y)(8x+11y)$