Math, asked by vatshalmishra200514, 1 year ago

x^2-23x^2+142x-120 Factorise it

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Answered by casvaish
2

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Answered by Anonymous
14

\huge\bold{Bonjour!!}

\huge\fcolorbox{black}{aqua}{Solutioñ:-}

ᴀɴsᴡᴇʀ:-

⛄ (x -1) (x -10) (x -12)

sᴛᴇᴘ-ʙʏ-sᴛᴇᴘ ᴇxᴘʟᴀɴᴀᴛɪᴏɴ:-

⛄ x² - 23x² + 142x - 120

= x³ - x² - 22x² + 22x + 120x -120

= x² (x -1) -22x (x -1) +120 (x -1)

= (x -1) (x² -22x + 120)

= (x -1) (x² - 10x + 12x + 120)

= (x -1) × (x [x -10] - 12 [x -10])

= (x -1) (x -10) (x -12)

[ᴛʜᴇ ʀᴇϙᴜɪʀᴇᴅ ғᴀᴄᴛᴏʀɪsᴀᴛɪᴏɴ]

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