Question

Factor completely 3x^5-75x^3=

Answer 1

Answer:

$\huge\boxed{3x^5-75x^3=3x^3(x-5)(x+5)}$

Step-by-step explanation:

$3x^5=3\cdot x^{3+2}=3\cdot x^3\cdot x^2=\boxed{3x^3}\cdot x^2\\\\75x^3=25\cdot\boxed{3x^3}\\\\3x^5-75x^3=3x^3(x^2-25)=3x^3(x^2-5^2)\\\\\text{Use}\ a^2-b^2=(a-b)(a+b)\\\\=3x^3(x-5)(x+5)$