Five mark exercise problems IV — task. Mathematics State Board, Class 10.

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Answer variants:

$(x^{2} + y^{2}) (x^{2} - y^{2} + xy)$

$(x^{2} - y^{2}) (x^{2} + y^{2} - xy)$

$(a - 2) (a + 7)$

$(a + 2) (a - 7)$

$(x^{2} - y^{2}) (x^{2} + y^{2} + xy)$

$(a + 2) (a + 7)$

Given the LCM and GCD of the two polynomials

$p(x)$ and

$q(x)$ . Find the unknown polynomial in the following table.

LCM	GCD	$p(x)$	$q(x)$
$(x^4 - y^4)(x^4 + x^2y^2 + y^4)$	$x^2 - y^2$		$(x^4 - y^4)(x^2 + y^2 - xy)$

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15. Five mark exercise problems IV