Factorise fully

5x^2-125

Step by step please

5(x+5)(x-5)

Step-by-step explanation:

Given : 5x² - 125

if we express 125 into its constituent prime factors,

125 = 5 x 5 x 5  = 5³

hence our expression becomes:

5x² - 125

= 5x² - (5 x 5 x 5)

= 5x² - 5³    ( factor out 5 from the equation)

= 5 (x² - 5²)   (recall the property a²- b² =  (a+b)(a-b) , apply this to our expression)

= 5(x+5)(x-5)     answer

10x

step-by-step explanation:

the greatest common factor 30 and 20 is 10

5 is a common factor of 30 and 20 but 10 is also a factor and 10 is greater than 5 so 5 will definitely not be apart of our answer

now the most amount of x's you factor our is just 1 factor of 1

so 10x the gcf of the terms in the polynomial