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nydus/The First Steps in AlgebraPublic

Page 192 of 226

Table of Contents

Cube Roots of Compound Expressions.

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

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

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

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

$(3 x - y + 2 a - b) (3 x - y - 2 a + b)$ .

$(x - 3 y + a + 2 b) (x - 3 y - a - 2 b)$ .

$(x + 2 y + a + 3 b) (x + 2 y - a - 3 b)$ .

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

[2]Exercise35.

$(2 x - y) (4 x^{2} + 2 x y + y^{2})$ .

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

$(x y - z) (x^{2} y^{2} + x y z + z^{2})$ .

$(x - 4) (x^{2} + 4 x + 16)$ .

$(5 a - b) (25 a^{2} + 5 a b + b^{2})$ .

$(a - 7) (a^{2} + 7 a + 49)$ .

$(a b - 3 c) (a^{2} b^{2} + 3 a b c + 9 c^{2})$ .

$(x y z - 2) (x^{2} y^{2} z^{2} + 2 x y z + 4)$ .

$(2 a b - 3 y^{2}) (4 a^{2} b^{2} + 6 a b y^{2} + 9 y^{4})$ .

$(4 x - y^{3}) (16 x^{2} + 4 x y^{3} + y^{6})$ .

$(3 a - 4 c^{2}) (9 a^{2} + 12 a c^{2} + 16 c^{4})$ .

$(x y - 6 z) (x^{2} y^{2} + 6 x y z + 36 z^{2})$ .

$(4 x - 9 y) (16 x^{2} + 36 x y + 81 y^{2})$ .

$(3 a - 8 c) (9 a^{2} + 24 a c + 64 c^{2})$ .

$(2 x^{2} - 5 y) (4 x^{4} + 10 x^{2} y + 25 y^{2})$ .

$(4 x^{2} - 3 y^{5}) (16 x^{8} + 12 x^{4} y^{5} + 9 y^{10})$ .

$(6 - 2 a) (36 + 12 a + 4 a^{2})$ .

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