Question

(x+5)(x-2) please solve this equation fast

Answer 1

`\large \bf \implies{ {x}^(2) + 3x - 10}`

Explanation:

`(x + 5)(x - 2)`

Step 1) : Using the identity

`\bf \longrightarrow{(x+a)(x+b) = x² + (a+b)x + ab}`

Step 2) : Simplify it with using the identity told earlier in step 1) .

`\bf \longrightarrow(x + 5)(x - 2) \\ \\ \bf \longrightarrow{x}^(2) + (5 + ( - 2))x + (5)( - 2) \\ \\\bf \longrightarrow {x}^(2) + (5 - 2)x + ( - 10) \\ \\\bf \longrightarrow {x}^(2) +3x - 10`

Step 3) : We have got the answer in step 2) .

`\large\bf \longrightarrow { {x}^(2) + 3x - 10}`