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22. a2 + zax + 4x2) a1 + 4a2x2+16x+ ( a2 − 2ax + 4x2 a1+2a3x + 4a2x2

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a

a

If x=2, then quotient = a2 – 2a.
ca. 2 + 4 (2) 3

2

= a2 - a2 + a2

+4

23. 1−a+2b)1 ~

a+26) =

· a3 + 6ab +8b3 (1+a+a2 − 2b+2ab+ 46a 1-a+2b

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If a 2, b 1, then quotient = 1+2+4−2+4+4

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24. 2a2b2 - 2ab+ 1

=15-2= 13.

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If a=2, b = -3, quotient-2.22.-3+2.2.-3+1

72 12+1=61,

or original divisor 72+12+1=85, and original dividend 5184+1=5185,

and 518585-61.

25. The continued product of (x − a) (x+a) (x2 + ax+a3)

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x

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− a ) ax3 — a2 x + xm - a2 xm−2(ax2 + a2x + xm−1 + axm-2

Jax3- a2x2

a2x2 - a3x
a2x2-a3x

xm

xm - axm-1

axm-1-a2xm-2
axm-1 - a2xm-2

1.

MISCELLANEOUS ON ADDITION, SUBTRACTION, MULTIPLICATION, AND DIVISION.

a2 ab + 62 2a2+3ab-4b2

3a2+2ab-3ba

3a2-4ab+5b2

6ab-862.

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4. If x=3, y=

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5.

6.

x32x2y-3xy2-41327+36-36+32=59

4a - 3(b − 2c) = 4a − 3b+6c

2a — 3(2b − 3c) = 2a

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If x=7, y = 1,

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result = 74+ 14-72.12 = 2401+1 − 49

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or, 2(ac− ad − bc+bd) = 2 {a(c — d) — b(c − d)} = 2 (a − b) (c − d'),

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