Question

x^2+5x-6 factrise it​

Answer 1

Step-by-step explanation:

${x}^{2} + 5x - 6 \\ \\ = {x}^{2} + (6 - 1)x - 6 \\ \\ = {x}^{2} + 6x - x - 6 \\ \\ = x(x + 6) - 1(x + 6) \\ \\ = (x + 6)(x - 1)$

Answer 2

Question:

Factorise: x² + 5x - 6

Solution:

In order to factorise a given expression, follow these steps:

• Check if you can take out common factor from all the terms.
• Regrouping the terms.
• Using identity (a+b)² = a²+ 2ab + b²
• Using identity (a-b)² = a²- 2ab + b²
• Using identity a²-b² = (a+b) (a-b)
• Splitting the middle term.

Here, we will use the method of splitting the middle term to factorise the given expression.

Steps to split the middle term:

☆ Find the product of the first and the last term.

$\sf \red {x^{2} \times 6 = 6}$(We can ignore the variable)

☆ Find the factors of the product so obtained.

$\sf \red {1 \times 6}$

$\sf \red {2 \times 3}$

☆ Find the two numbers whose product is equal to that of the first and last term and whose sum or difference is equal to that of the middle term.

$\sf \red {2 \times 3=6\ and\ 2+3=5}$

Solution continued:

x² + (2+3)x - 6

x²+ 2x + 3x - 6

Now, group the terms,

(x²+ 2x) (3x - 6)

Take out common from each group,

x (x+2) + 3(x+2)

Hence,

(x+3) (x+2)

Final answer:

$\boxed {\sf {\blue {Factorised\ form\ of\ x^{2}+5x-6\ is\ (x+3) (x+2)}}}$