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nydus/The First Steps in AlgebraPublic

Page 189 of 226

Table of Contents

Cube Roots of Compound Expressions.

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

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

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

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

[2]Exercise31.

$2 x (x - 2)$ .

$3 a (a^{2} - 2)$ .

$5 a^{2} b^{2} (1 - 2 a b)$ .

$x y (3 x + 4 y)$ .

$4 a^{2} b^{2} (2 a + b)$ .

$3 a^{2} (a^{2} - 4 - 2 a)$ .

$4 x^{2} (1 - 2 x^{2} - 3 x^{3})$ .

$5 (1 - 2 x^{2} y^{2} + 3 x^{2} y)$ .

$7 a (a + 2 - 3 a^{2})$ .

$3 x^{2} y^{2} (x y - 2 x^{2} y^{2} - 3)$ .

Exercise32.

$(x^{2} + 1) (x + 1)$ .

$(x^{2} + 1) (x - 1)$ .

$(x + y) (x + z)$ .

$(x - y) (a - b)$ .

$(a + b) (a - c)$ .

$(x + 3) (x - b)$ .

$(x^{2} + 2) (2 x - 1)$ .

$(a - b) (a - 3)$ .

$(2 a - c) (3 a + b)$ .

$(x y + c) (a b + c)$ .

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