Question

(5x²-2)*(5x²+2)

Thank you​

Answer 1

25x4+10x2-10x2-4= 25x2-4

Answer 2

`\boxed{ \bold{ \huge{ \boxed{ \sf{25 {x}^(4) - 4}}}}}`

Explanation:

`\sf{(5 {x}^(2) - 2)(5 {x}^(2) + 2)}`

Use the distributive property to multiply each term of the first binomial by each term of the second binomial.

`\dashrightarrow{ \sf{5 {x}^(2) (5 {x}^(2) + 2) - 2(5 {x}^(2) + 2)}}`

`\dashrightarrow{ \sf{25 {x}^(4) + 10 {x}^(2) - 10 {x}^(2) - 4}}`

Since two opposites add up to zero , remove them from the expression

`\dashrightarrow{ \sf{25 {x}^(4) - 4}}`

Hope I helped!

Best regards! :D