4. Give the rule for forming the square of a multi

(7) 4a3+4a3b§+6.

(8) x1 — 8x3—26x2 + 168x+441.

(9) 4x-12x3+25x2−24x+16.

(10) 1+4x+10x2+12x3+9xa.

(11) 9x1 — 1213y + 34r2y2 —20xy3+25ya.

(12) 10x10x3- 12x+5x2+9x6—2x+1.

(13) x6 — 2px3 +p2x1 — 2rx3 + 2prx2 +r2.

(14) x6 +10ax +35a2x2+52a3x3 +35aax2 + 10a3x

+a6.

(15) 9x3-12ax2 +4a2xˆ+6a3x3 −4aaxa + a®x2.

(22) 4a2+c2+(4a+3b) (3b−2c) + 4ac.
(23) a2b2+2ab (bc—ca)+b2c2+a2c2 — 2abc3.
(21) 9(a2 — 1)2 — 12(a2 — 1)a+4a2.
(25) a+b+4(a3b-1+a ̄1b3)+6a2b¬3.

(26) a+b+4a5b-1+2b ̄a+2a1b—2—3b-4a2

(30) 20449, 20449. (31) 19321, 19321, 19.321.

(32) 62900761, 62900761, 6290076.1.

2. Find the cube root of

(1) a3 +3a2b+3ab2+b3.

(2) a3x3-12a2bx3+48ab2x3-6463x3.
(3) 8a3— 36a2b+54ab2—27b3.
(4) a ̄3+6a2+12a ̄1+8

2. Write in simpler forms

(1) (√x)3. (2) ~/(ax)". (3) 5ax^

(4) /2a2—3a2.

3. Multiply together 2y§ √2x3, √бxy, and

10. Which is the greater, √14 + √7 or √19 + √2?

Prove your answer.

11. Shew that a surd cannot equal the sum or difference of a rational quantity and a surd.

XVI. QUADRATIC EQUATIONS OF ONE
UNKNOWN QUANTITY.

1. Solve the equations

(1) (x−1)(x−2)=5(x−3) +2.

(2) (x−1)2+1=x.

(3) (x+101)2=4(x+93).

(4) }(x−1)=1(x + 1) − 1 (x − 1)3.
(5) 7x2-11x=6.

2. Solve the equation x2-px+q=0; and shew that the sum of the roots is equal to p, and their product is equal to q.