Question

factorise
x^2 + x^2 -4x -4 ​

Answer 1

Step-by-step explanation:

x2+x2-4x-4

Final result :

2 • (x2 - 2x - 2)

Step by step solution :

Step 1 :

Step 2 :

Pulling out like terms :

2.1 Pull out like factors :

2x2 - 4x - 4 = 2 • (x2 - 2x - 2)

Trying to factor by splitting the middle term

2.2 Factoring x2 - 2x - 2

The first term is, x2 its coefficient is 1 .

The middle term is, -2x its coefficient is -2 .

The last term, "the constant", is -2

Step-1 : Multiply the coefficient of the first term by the constant 1 • -2 = -2

Step-2 : Find two factors of -2 whose sum equals the coefficient of the middle term, which is -2 .

-2 + 1 = -1

-1 + 2 = 1

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Final result :

2 • (x2 - 2x - 2)

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