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nydus/The First Steps in AlgebraPublic

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Page 88 of 226

Table of Contents

Examples For Review

Resolve into factors:

$a^{3} - 7 a$ .

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

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

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

$a^{3} + 8 b^{3}$ .

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

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

$a^{2} - 6 a b + 9 b^{2}$ .

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

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

$x^{2} + 4 x - 21$ .

$a^{2} - 11 a - 26$ .

$a x^{2} + b x^{2} + 3 a + 3 b$ .

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

$x^{2} - 7 x + 12$ .

$a^{2} + 5 a b + 6 b^{2}$ .

$x^{4} + 10 x^{2} + 25$ .

$x^{2} - 18 x + 81$ .

$x^{2} - 21 x + 110$ .

$x^{2} + 19 x + 88$ .

$x^{2} - 19 x + 88$ .

$x^{3} - x^{2} + x - 1$ .

$9 x^{4} - x^{2}$ .

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