- c.
- + = - + =
==== =- a. +
–1
= –1
=–1
= –1
= 2–1= ^12 - a. + = + = –
= = – =- a.
- + 1 = – + 1= – + === = =- d.
+ = + =+ =+ == ==- b.
- + = – += – += == =- c.
- = – = –= = == –- c.
1 + – = 1 + – =+ – ==== =Set 32(Page 81)
497. c. = =- d.
=
= =- b.
= = - a. = =
- a.
(3x^2 – 10x– 8) = = =- c. = =
d. = =
- a. =
- b. = = (9)(21)(10)x 43 yx
(^3) y 4
9 x 1521 xyy 2 1210 yx 3 (14)(15)(12)x (^2) y 5
(^2) y 3
14 x
–(x– 6)
2
–(5 + x)
4(x– 6)
2(x6)^2
x+ 5
x–8
3 x(x+ 3)
(x– 8)(x + 8)2(x– 3)
(x– 3)(x + 3) 6 x(x+8)
^2 x– 6
6 x^2 + 48x
x^2 – 64
x^2 –9
^6 x^2 + 48x
2 x– 6
x^2 – 64
x^2 –9
^2
x^3
^4 x
x(x– 3)
x– 3
2 x^3
x^2 – 3x
4 x
x– 3
2 x^3
x+ 3
(3x+ 2)^2 (x– 1)
^1
(3x+ 2)(x– 4)
(x– 4)(x+ 3)
(3x+ 2)(x– 1)
^1
3 x^2 – 10x– 8
x^2 x– 12
3 x^2 – x– 2
x^2 – x– 12
3 x^2 – x– 2
^2 x^2
7 y
(12)(–24)x^3 y^3
(–18)(56)xy^4
–24xy^2
56 y^3
^12 x^2 y
–18xy
^5
–4
5(2 – x)
–(9x– 2)
^9 x– 2
4(2 – x)
10 – 5x
2 – 9x
^9 x– 2
8 – 4x
^2 a^3
–3(3 – a)
(5a–2)(a+ 3)
12 a(5a– 2)
^8 a^4
(3 – a)(3 + a)
(5a – 2)(a+ 3)
12 a(2 – 5a)
^8 a^4
(3 – a)(3 + a)
^5 a^2 + 13a– 6
24 a– 60a^2
^8 a^4
9 – a^2
^2 y^5 z
x^2
^4 x^3 y^5 z^4
2 x^5 z^3
y^3 z^4
2 x^5
(^4) x^3 y^2
z^3
2(x+ 1)
x+ 3
^2 x(x+ 1)
x(x+ 3)
^2 x^2 + 2x
x(x+ 3)
x^2 + 3x+ x^2 + 2x– 3 – 3x+ 3
x(x+ 3)
x(x+ 3) + (x– 1)(x+ 3) – (3x– 3)
x(x+ 3)
^3 x– 3
x(x+ 3)
(x– 1)(x+ 3
x(x+ 3)
x(x+3)
x(x+ 3)
^3 x– 3
x(x+ 3)
x– 1
x
^3 x– 3
x^2 + 3x
x– 1
x
x– 2
x
(x– 2)^2
x(x– 2)
x^2 – 4x+ 4
x(x– 2)
x^2 – x– 3x+ 4
x(x– 2)
x(x– 1) – (3x– 4)
x(x– 2)
^3 x– 4
x(x– 2)
x(x– 1)
x(x– 2)
^3 x– 4
x(x– 2)
x– 1
x– 2
^3 x– 4
x^2 – 2x
x– 1
x– 2
^2
x^2 + 1
2(x^2 – 1)
(x^2 –1)(x^2 +1)
^2 x^2 –2
(x^2 – 1)(x^2 + 1)
^2 x^2 – x^2 –1 + x^2 – 1
(x^2 – 1)(x^2 + 1)
x^2 – 1
(x^2 –1)(x^2 + 1)
x^2 + 1
(x^2 – 1)(x^2 + 1)
^2 x^2
(x^2 – 1)(x^2 + 1)
^1
x^2 + 1
^1
x^2 –1
^2 x^2
(x^2 –1)(x^2 + 1)
^1
x^2 + 1
^1
x^2 –1
^2 x^2
x^4 –1
x(x– 9)
(x– 5)(x+ 5)
x^2 – 9x
(x– 5)(x+ 5)
–x^2 – 5x+ x^2 – 4x– 5
(x– 5)(x+ 5)
–x(x+ 5) + (x+ 1)(x– 5)
(x– 5)(x+ 5)
(x+ 1)(x– 5)
(x+ 5)(x5)
–x(x+ 5)
(x– 5)(x+ 5)
x +^1
x + 5
–x
x – 5
x+ 1
x+ 5
–x(x– 5)
(x– 5)^2
x+ 1
x+ 5
–x^2 + 5x
(x– 5)^2
x–6
x+ 4
(x– 6)(x– 6)
(x– 6)(x+ 4)
x^2 – 12x+ 36
(x– 6)(x– 4)
x– 3x+ 12 + x^2 – 10x+ 24
(x– 6)(x– 4)
x– 3(x– 4) + (x– 6)(x– 4)
(x– 6)(x– 4)
(x– 6)(x– 4)
(x– 6)(x– 4)
3(x– 4)
(x– 6)(x– 4)
x
(x– 6)(x– 4)
^3
x– 6
x
(x– 6)(x– 4)
^3
x– 6
x
x^2 –10x+ 24
x+ 1
x– 3
x– 1
x– 3
4 –(x+ 5)
x– 3
x+ 5
x– 3
^4
x– 3
x+ 5
–(x– 3)
^4
x– 3
x+ 5
3 – x
^4
x–3
2(4z+ 3)
4 z+ 3
^8 z+ 6
4 z+ 3
^6 z+ 12 + 2z– 6
4 z+ 3
^2 z– 6
4 z+ 3
^6 z+ 12
4 z+ 3
y+ 4
(y– 1)^2
(y+ 4)(y+ 1)
(y– 1)^2 (y+ 1)
y^2 + 5y+ 4
(y – 1)^2 (y+ 1)
^3 y^2 + 5y+ 2 – 7y^2 + 10y– 3 + 5y^2 – 10y+ 5
(y– 1)^2 (y+1)
^3 y^2 + 5y+ 2 – (7y^2 – 10y+ 3) + 5(y^2 – 2y+ 1
(y– 1)^2 (y+ 1)
(3y+ 2)(y+ 1) – ( 7y– 3)(y– 1) + 5(y– 1)^2
(y– 1)^2 (y+ 1)
(y– 1)^2
(y– 1)^2
^5
y+ 1
(y– 1)
(y– 1)
^7 y– 3
(y– 1)(y+ 1)
y+ 1
y+ 1
^3 y+ 2
(y– 1)^2
^5
y+ 1
^7 y–3
(y– 1)(y+ 1)
^3 y+ 2
(y– 1)^2
ANSWERS & EXPLANATIONS–