If (a6 – b6) = 8(a4 + b4 + a2b2), then find the value of (a2 – b2).
1). 2
2). 4
3). 8
4). 16
? (a2 – b2) = (a + b)(a – b)
We can write, (a6 – b6) = (a2 – b2)(a4 + b4 + a2b2)
⇒ (a2 – b2)(a4 + b4 + a2b2) = 8(a4 + b4 + a2b2)
⇒ (a2 – b2) = 82. The measure of an angle whose supplement is three times as large as its complement, is
4. The 3rd and 6th term of an arithmetic progression are 19 and 37 respectively. What is the 13th term?
7. If 12x = $19^{2} - 11^{2}$, what is the value of x?
8. If a + b = 5 and ab = 6, then what is the value of $a^{3}+ b^{3}$ ?
9. Measure of each interior angle of a regular polygon can never be: