Question

Match please

1. (2x2 + y)(2x2 - y)
2. 4(2x2 + y)(2x2 - y)
3. (x + 4y)(x - 4y)
4. 4(x + 4y)(x - 4y)
5. prime

a. Factor 4x^4 - y^2
b. Factor 9x^2 - 8y^2
c. Factor 16x^4 - 4y^2
d. Factor 4x^2 - 64y^2
e. Factor x^2 - 16y^2

Answer 1

\[4x^4-y^2=(2x^2-y)(2x^2+y)\\\\ 9x^2-8y^2=9x^2-8y^2 \ \ \text{Prime } \\\\ (x+4y)(x-4y)= x^2-16y^2\\\\ 4(x+4y)(x-4y)= 4x^2-64y^2 \]