Factorise 24x²+34xy-10y²
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Answer:
refer the attachment
Step-by-step explanation:
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Step-by-step explanation:
Step by Step Solution
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STEP
1
:
Equation at the end of step 1
((24 • (x2)) + 34xy) - (2•5y2)
STEP
2
:
Equation at the end of step
2
:
((23•3x2) + 34xy) - (2•5y2)
STEP
3
:
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
24x2 + 34xy - 10y2 = 2 • (12x2 + 17xy - 5y2)
Trying to factor a multi variable polynomial :
4.2 Factoring 12x2 + 17xy - 5y2
Try to factor this multi-variable trinomial using trial and error
Found a factorization : (4x - y)•(3x + 5y)
Final result :
2 • (4x - y) • (3x + 5y)
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