SOLUTION: Express 9x^2 - 15x in the form (3x - a)^2 - b.

Algebra.Com
Question 1199993: Express 9x^2 - 15x in the form (3x - a)^2 - b.
Answer by htmentor(1343)   (Show Source): You can put this solution on YOUR website!
(3x-a)^2 = 9x^2 - 6ax -> 6a = 15 -> a = 5/2
(3x - 5/2)^2 = 9x^2 - 15x + 25/4.
The constant term in the original equation is zero so we must subtract 25/4.
Ans: (3x - 5/2)^2 - 25/4

RELATED QUESTIONS

Express 9x^2-42x+49 in the form (ax+b)^2 where a and b are constants.... (answered by tommyt3rd)
Rewrite each of the following expressions in factored form. a. 4x+32= b. 7x^2-18x= (answered by Theo)
Determine the value of Q(x) when P(x) = 4x^3-3x^2+2x+5 is divided by x-3 and is then... (answered by stanbon)
8. Express each of the following in the form (x+a)^2+b a) x^2 +18x b) x^2 - 9x c) x^2... (answered by josgarithmetic)
Perform the indicated operation (6x^2+7x-8)-(-9x^2+10) A)-3x^2+7x+2 B)15x^2+7x-18 (answered by checkley75)
(-9x^3+3x^2-15x)/(-3x) (answered by Fombitz,ewatrrr)
Reduce the following rational expressions to their simplest form. A)5x-10/5x B)... (answered by solver91311,MathLover1,Alan3354)
Use the polynomial to answer the question. Heres the polynomial: 12x^3 + 5 - 5x^2 -... (answered by ewatrrr)
Express the rational expression in lowest terms (3x+3)/(15x^2+24x=9) (answered by benazir.sj@gmail.com)