Math, asked by shreeaashritha, 1 day ago

factorise x^2-x-72
pls answer this question someone
pls don't give unnecessary answers

Answers

Answered by ardeeptoppp
1

Answer:

x² - x - 72

Grouping

1

Use the sum-product pattern

x²-x-72

x² +8x-9x - 72

2

Common factor from the two pairs

x² + 8x - 9x - 72

x(x + 8) 9(x + 8)

3

Rewrite in factored form

x(x + 8) - 9(x+8)

(x −9)(x + 8)

answer:

(x −9)(x + 8)

Answered by itzharshu439
4

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Given: x2−x−72

=x2−9x+8x−72,    

  =(x2−9x)+(8x−72),   \\   (group  \: pair \:  of \:  terms )

=x(x−9)+8(x−9),    

(factor \:  each  \: binomials) 

=(x−9)(x+8),  

 (factor  \: out  \: common \:  factor (x−8))

Hence \:  the  \: factors \:  \\  of x2−x−72 are (x−9)(x+8)

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