Question

2x²+4x-2 factorise it ​

Answer 1

Answer:

1

Common factor

2

2

+

4

−

2

{\color{#c92786}{2x^{2}+4x-2}}

2x2+4x−2

2

(

2

+

2

−

1

)

{\color{#c92786}{2(x^{2}+2x-1)}}

2(x2+2x−1)

Solution

2

(

2

+

2

−

1

)

Step-by-step explanation:

2

x

2

+

4

x

+

1

=

2

(

x

+

1

)

2

Explanation:

2

x

2

+

4

x

+

2

Extract the obvious constant factor

=

2

(

x

2

+

2

x

+

1

)

Recognize the "sum of squares" component

=

2

(

x

+

1

)

(

x

+

1

)

2

x

2

+

4

x

+

1

=

2

(

x

+

1

)

2

Explanation:

2

x

2

+

4

x

+

2

Extract the obvious constant factor

=

2

(

x

2

+

2

x

+

1

)

Recognize the "sum of squares" component

=

2

(

x

+

1

)

(

x

+

1

)

Answer 2

Step-by-step explanation:

2

2

+

4

−

2

2x^{2}+4x-2

2x2+4x−2

Grouping

1

Common factor

2

2

+

4

−

2

{\color{#c92786}{2x^{2}+4x-2}}

2x2+4x−2

2

(

2

+

2

−

1

)

{\color{#c92786}{2(x^{2}+2x-1)}}

2(x2+2x−1)

Solution

2

(

2

+

2

−

1

)

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