factorise a2b-25 (polynomial)
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1
Answer:
•Let (a−2b)=p, then the equation 2(a−2b)
2
−25(a−2b)+12 becomes 2p
2
−25p+12
Consider the expression 2p
2
−25p+12 we can factorise it as follows:
2p
2
−25p+12=2p
2
−24p−p+12=2p(p−12)−1(p−12)=(2p−1)(p−12)
Now, substitute the value of p as p=(a−2b):
(p−12)(2p−1)=(a−2b−12)(2(a−2b)−1)=(a−2b−12)(2a−4b−1)
Hence, 2(a−2b)
2
−25(a−2b)+12=(a−2b−12)(2a−4b−1).
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Answer:
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Step-by-step explanation:
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