(5a^2-3a+7)^2-(5a^2-3a-7)^2
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Step-by-step explanation:
The expression to factor (5⋅a2−3⋅a+7)2−(5⋅a2−3⋅a−7)2 is a special expansion type a2−b2, with a=5⋅a2−3⋅a+7 and b=5⋅a2−3⋅a−7
The factorization of a2−b2 is (a−b)⋅(a+b)
By replacing a by 5⋅a2−3⋅a+7 and b by 5⋅a2−3⋅a−7, we obtain the factored form of the expression, ie 14⋅(−6⋅a+10⋅a2).
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