Math, asked by advith30, 6 months ago

factorise (x+7)(x-10)+16​

Answers

Answered by FalconBeastx
1

Answer:

try to understand this

plz

factorise x 7) (x 10) +16

How to solve your question

Your question is

(

+

7

)

(

1

0

)

+

1

6

(x+7)(x-10)+16

(x+7)(x−10)+16

Simplify

1

Distribute

(

+

7

)

(

1

0

)

+

1

6

{\color{#c92786}{(x+7)(x-10)}}+16

(x+7)(x−10)+16

(

1

0

)

+

7

(

1

0

)

+

1

6

{\color{#c92786}{x(x-10)+7(x-10)}}+16

x(x−10)+7(x−10)+16

2

Distribute

(

1

0

)

+

7

(

1

0

)

+

1

6

{\color{#c92786}{x(x-10)}}+7(x-10)+16

x(x−10)+7(x−10)+16

2

1

0

+

7

(

1

0

)

+

1

6

{\color{#c92786}{x^{2}-10x}}+7(x-10)+16

x2−10x+7(x−10)+16

3

Distribute

2

1

0

+

7

(

1

0

)

+

1

6

x^{2}-10x+{\color{#c92786}{7(x-10)}}+16

x2−10x+7(x−10)+16

2

1

0

+

7

7

0

+

1

6

x^{2}-10x+{\color{#c92786}{7x-70}}+16

x2−10x+7x−70+16

4

Combine like terms

2

1

0

+

7

7

0

+

1

6

x^{2}{\color{#c92786}{-10x}}+{\color{#c92786}{7x}}-70+16

x2−10x+7x−70+16

2

3

7

0

+

1

6

x^{2}{\color{#c92786}{-3x}}-70+16

x2−3x−70+16

5

Add the numbers

2

3

7

0

+

1

6

x^{2}-3x{\color{#c92786}{-70}}+{\color{#c92786}{16}}

x2−3x−70+16

2

3

5

4

x^{2}-3x{\color{#c92786}{-54}}

x2−3x−54

Solution

2

3

5

4

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