Question

Write equation as a trinomial

Answer 1

(2x-5)-2x -51 = 4x^2-10x-10x+25 4x^2-20x+25

Answer 2

`\sf 4x^2-20x+25`

Explanation:

`\sf (2x - 5)^2`

We can written it as:

`\sf (2x - 5)(2x - 5)`

`\sf 2x(2x - 5) - 5(2x - 5)`

Opening Bracket

`\sf (2x * 2x) + (2x * -5) + (-5 * 2x) + (-5 * -5)`

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

`\sf 4x^2 - 20x + 25`

Therefore, Trinomial of
`\sf (2x - 5)^2 \:is\: 4x^2 - 20x + 25.`