Write the coefficient of 4 2² in −12 4⁴.
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Complete step-by-step answer:
The given expansion is (5−y)2
The expansion is in the form (a−b)2
We apply the formula (a−b)2=a2+b2+2ab
a=5,b=y
So, (5−y)2=(5)2+(y)2−2∗5∗y
⇒ (5−y)2=25+y2−10y
So, we have (5−y)2=25+y2−10y
In 25+y2−10y, coefficient of y is −10
So, the coefficient of (5−y)2 is −10.
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