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nydus/The First Steps in AlgebraPublic

Page 181 of 227

Table of Contents

Cube Roots of Compound Expressions.

$2 x^{4} + 13 x^{3} - 9 x^{2} - 50 x + 40$ .

$9 x^{5} - 7 x^{3} + 6 x^{2} - 2 x$ .

$x^{5} - 4 x^{2} y^{3} + 3 x y^{4}$ .

$- a^{4} + 4 a^{3} b - 7 a b^{3} - 2 b^{4}$ . [1]

$- 25 a^{5} b^{3} + 20 a^{4} b^{4} + 12 a^{3} b^{5} - 5 a^{2} b^{6} - 2 a b^{7}$ .

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

$a^{2} b^{2} + 2 a b c d - a^{2} c^{2} + c^{2} d^{2}$ .

$- 2 x^{5} y^{3} + x^{4} y^{4} + 10 x^{3} y^{5} - 8 x^{2} y^{6} - 3 x y^{7}$ .

$x^{4} - 4 x^{2} y^{2} + 4 x y^{3} - y^{4}$ .

$3 x^{4} - 5 x^{3} y - 12 x^{2} y^{2} - x y^{3} + 3 y^{4}$ .

$- a^{4} + 6 a^{2} b^{2} - b^{4}$ .

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

$a^{4} - 16 a^{2} b^{2} x^{2} + 32 a^{3} b^{3} x^{3} - 16 a^{4} b^{4} x^{4}$ .

$6 a^{4} + 5 a^{3} b x - 10 a^{2} b^{2} x^{2} + 7 a b^{3} x^{3} - 2 b^{4} x^{4}$ .

$10 x^{6} y^{2} + 14 x^{5} y^{3} - 48 x^{4} y^{4} + 32 x^{3} y^{5} - 16 x^{2} y^{6}$ .

Exercise23.

$2 a^{2} - a$ .

$7 a^{4} - a$ .

$7 x^{2} + 1$ .

$5 m^{4} - p^{2}$ .

$3 x^{3} - 5 x^{2}$ .

$- 3 x^{3} + 1$ .

$2 x^{2} - 3 x$ .

$- x^{2} + 2$ .

$a + 2 c$ .

$5 x - y$ .

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