Question

(100-3) ( (100+3) )
( Rightarrow quad(100)^{2}-(3)^{2} )
( =10000-9 )
( =9991 )
2) ( (99)^{3}=(100-1)^{3} )
( (a-b)^{2}=a^{3}-b^{3}-3 a b(a+1) )
( (100-1)=100^{2}=1^{3}-3 times 100 times 1 )
( =970,299 )

# Q5 Q6 Q7 Evaluate each of the following using a suitable identity: Giy97x103 (ii) 993 (iii) 772-232 (iv) 393-233-163 (v) 372 – 2x37x33 + 332 Write the coefficient of (i) x² in x²(x - 3x² + 5x - 6); (ii) x'in (7 – 4x²)(6x - 5) Solve the following: ta) If x - 2y = 8 and xy = 6. Find the value of x°- 8y3 (b) If x = 3 + 5. Find the value of (x² +1/x?) If ax + bx² + x - 6 has (x + 2) as a factor and leaves a remainder 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 - 1) are the factors of px² + 5x + r, show that p=r Q8 09 Oro

Solution