Answer:
[tex]2x^2(1-10x^3)[/tex]
Step-by-step explanation:
Factor [tex]2x^2-20x^5[/tex]
Apply the exponent rule: [tex]a^{b+c}=a^ba^c[/tex]
[tex]\implies 2x^2-20x^2x^3[/tex]
Rewrite 2 as 2 · 1 and 20 as 2 · 10:
[tex]\implies 2 \cdot 1x^2-2 \cdot 10x^2x^3[/tex]
Factor out common term [tex]2x^2[/tex]:
[tex]\implies 2x^2(1-10x^3)[/tex]