Question

( sqrt{1} ) gaxios
(1) ( 99^{3}=left(100-11^{3}right) ) Use ( frac{sqrt{9} cdot 67}{2^{3}-3^{3}-3419+67} )
( =(100)^{3}-(1)^{3}-3left(begin{array}{c}1 100)(100-1)end{array}right. )
( =1000000-1-29700= )

# Q5 Q6 Q7 Evaluate each of the following using a suitable identity: (i) 97x103 (ii) 992 .. (1) 77² – 233 (iv) 393-233-16 (1) 37 – 2×37×33 + 332 Write the coefficient of (i) x in x(x - 3x2 + 5x - 6); (ii) xin (7 - 4x?) (6x - 5) Solve the following: (a) If x - 2y = 8 and xy=6. Find the value of x' -8y! (b) If x=3 +35. Find the value of (x² +1/x?) If ax + bx' + x - 6 has (x + 2) as a factor and leaves a ruinainder 4 when divided by (x - 2), find the values of a & b. If (x² +1/x?) = 38, the find the value of (x - 1/x) If both (x - 2) and (x - 2) are the factors of px? + 5x +r, show that p=r Q8 Q9 Q10

Solution