The document discusses a series of algebraic identities, polynomial expansions, and simplifications. It includes various equations and expressions to be solved or simplified, focusing on identifying coefficients and determining values under certain conditions. Key themes include algebraic manipulation, substitution, and solving for parameters in different scenarios.

1. GA (Tese) ALgeba Gxpanaion (mLA)
) Find the ex banaios of the tolouing:
CU(2at 3
Ci) (aat3b-4)
) Find the eanoins of the tolouing :
() ( zty) (ü)(3a
2
3) Sinity he totloung i
CD (2z -3y+5) (2r -3y - 5)
CiDax-t4 (2z++4)
4) Sielity the totloung :
C) (2p- -3) (ap + +3)
C2 (3x-2y)(3z t2y)(a+4Y)
5) Find the erpanaigs of the tolouing:
)(aat 3b) CiD(3-4y)
3
6)Find the broduet of the totlouning
(uoing tondard Jes):
Cì) Caz+ 5y+3) (2z+ 5y t4)
() 32 -y- 4) (37 -y+5

2. ) Simlity the tolouig
C) (32+ Sy) (9-154 +25y)
(a2 15xy
8)Simbltti
(3a-25 (aa?+6ab t 46) (2a+3b)x
) Simblity: (2at3 - (2a- 3
to) Simlty: (zt 34+52)(+a a52-3
(249u2,
(3-5y
) mutiby (a 25+15 +12-204
t 16) by (2x- 5y_), whg a siu tatble
idertitg
(4a'-Gab+95)
- 1Sy2 52x)
12) Uana tropre idontity, broe that:
Cay)+ (y+ 2)+ (zt)³ - 3(+)(yt)x
(2t) = 2(7°4y°t ?-3 )
Ci)a )
(+3) (zt5)
13) Find the roducts f :
Ci) (xt 1)(-3) (a-4)
of
t4) Fnd the coekfiient of and x
find
the product
|5) ind the coettieient of x2 àn he
ezpanin ot ('+ 2x+ 3)+(-23
in

3. By wairg (a11°=
the vae of (a03)".
1) uaig a Autable idordity, tnd he
Nale of
19) TA
T) ithout actually caloulating the
atb +e =0, oe that
(-a3)4 45°
TA
a+ 2obt62,
( () -(
(
3
*0 T ay6, then tind thu vaue
2
-By-36 u - a16.
aTA a ,b=-2 and e=-3,fnd
the vae of
a'b'+-3obe
ab +be t ea-(atote)
22) Uairq sutable identtt tind the
o.45 XO75 %075 4 025X O25 XO25
O75 XO.75 - O75X O25 t Oa5x O:a5
ot (a8.

4. be
24) Gimlyi (at-
atbtc =0,ind the vale of
vae
a5) TA abtbe t ca O, thunind the
a e
Ci) a-b
Catt)
2L) TA atb= 3 and ab =a tind the
Ci) at
3
ab

5. 29) T et, ind the values of:
a) T -3a- =0, tind the aue
of a
31) Tt
30) T 4atid the vaes of
a 2
Ci)
33) T
(253
5x
2
3
32) T 4 - 444, finthe vaues of
=
- .
8 n d the vae
xe 7- 443,tind the vae of
34) T 3t 2{2, tind the naue of

6. 35) TÆ a= 5+26.ard b2then tnd
the values o:
()a+
36) T
a =
50 and ab t be tcaz 4t,
fid atbte.
3) TA xty-2=4 and ay+g=38, hen
tind the wal ot y-y2 -22,
38) T+ atbtc= 2, ab tbe+cas-1 and
abe =-2 , find the vaue ot at6+e3
a'+b°e
34) TA atb e=280 and abt bet ca 1.
ther tind the value ot (atbte),
40) T atb 10 and a+b= 58tind the
4) TAabroue that
(atbt (a-bt=
a+be
42)T the nmb is t mnore than the
unbe and the Aum of the sauoes
4
of and q in B5, nd the troduct ot
and a,.oe
und the sun of thi uben 133, rd
the Aum o theur sauaees