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nydus/The First Steps in AlgebraPublic

Page 87 of 227

Table of Contents

Case VII.

$x^{2} + 7 x - 30$ .

$x^{2} - 7 x - 30$ .

$a^{2} + a b - 6 b^{2}$ .

$a^{2} - a b - 6 b^{2}$ .

$a^{2} + 3 a b - 4 b^{2}$ .

$a^{2} - 3 a b - 4 b^{2}$ .

$a^{2} x^{2} - 2 a x - 63$ .

$a^{2} + 2 a x - 63 x^{2}$ .

$a^{2} - 9 a b + 20 b^{2}$ .

$x^{2} y^{2} - 19 x y z + 48 z^{2}$ .

$a^{2} b^{2} + 15 a b c + 44 c^{2}$ .

$x^{2} - 13 x y + 36 y^{2}$ .

$x^{2} + 19 x y + 84 y^{2}$ .

$a^{2} x^{2} - 23 a x y + 102 y^{2}$ .

$x^{4} - 9 x^{2} y^{2} + 20 y^{4}$ .

$a^{4} x^{4} - 24 a^{2} x^{2} y^{2} + 143 y^{4}$ .

$a^{6} b^{6} - 23 a^{3} b^{3} c^{2} + 132 c^{4}$ .

$a^{2} - 20 a b c - 96 b^{2} c^{2}$ .

$a^{2} - 4 a b c - 96 b^{2} c^{2}$ .

$a^{2} - 10 a b c - 96 b^{2} c^{2}$ .

$a^{2} + 29 a b c - 96 b^{2} c^{2}$ .

$a^{2} - 46 a b c - 96 b^{2} c^{2}$ .

$a^{2} + 49 a b c + 48 b^{2} c^{2}$ .

$x^{2} - 18 x y z - 243 y^{2} z^{2}$ .

$x^{2} y^{2} - x y z - 182 z^{2}$ .

Exercise 39.

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