Question

4x squared - 35 y squared ​

Answer 1

`= 1)(2x - 5y {)} * (2x + 5y)`

Explanation:

`1) {4x}^(2) - 25 {y}^(2)`

`= {2}^(2) {x}^(2) - 25 {y}^(2)`

`= {2}^(2) {x}^(2) - {5}^(2) {y}^(2)`

`= (2 {x)}^(2) - {5}^(2) {y}^(2)`

`= ( {2x)}^(2) - (5 {y)}^(2)`

`= (2x - 5y) * (2x + 5y)`

`2)4x^(2) - 35 {y}^(2)`

`= {2}^(2) {x}^(2) - 5y * 7 {y}`

`=(2x {)}^(2) - (5y * 7y)`

Answer 2

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`4 {x}^(2) - 25 {y}^(2) \\ (2 x) {}^(2) - {(5y)}^(2) \\ (2x + 5y)(2x - 5y)`