UPSKILL MATH PLUS

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Answer variants:
(a+2)(a7)
(a+2)(a+7)
(a2)(a+7)
(x2y2)(x2+y2+xy)
(x2+y2)(x2y2+xy)
(x2y2)(x2+y2xy)
Given the LCM and GCD of the two polynomials \(p(x)\) and \(q(x)\). Find the unknown polynomial in the following table.
 
S. NoLCMGCD\(p(x)\)\(q(x)\)
(i)\(a^3 - 10a^2 + 11a + 70\)\(a - 7\)\(a^2 - 12a + 35\)
(ii)\((x^4 - y^4)(x^4 + x^2y^2 + y^4)\)\(x^2 - y^2\) 
\((x^4 - y^4)(x^2 + y^2 - xy)\)