1. Expressing in another form

How do you express x^2+5x into the form: a(2x^2+x)+b(3x^2+x)

2. Originally Posted by sleepingpanda
How do you express x^2+5x into the form: a(2x^2+x)+b(3x^2+x)
x^2 + 5x = 2a*x^2 + ax + 3bx^2 + bx.
Compare the coefficient of x^2 and x, and solve the simultaneous equation to find a and b.

3. when i compare the coefficients of x^2 and x do i compare 3bx^2 to x^2 or 2ax^2 with x^2?

4. Originally Posted by sleepingpanda
when i compare the coefficients of x^2 and x do i compare 3bx^2 to x^2 or 2ax^2 with x^2?
No. Collect the coefficients of x^2 in the right hand side and equate it to that of left hand side. You get on equation is a and b. Repeat the same thing for x to get another equation in a and b. Solve these two equations to find a and b.

5. Originally Posted by sa-ri-ga-ma
No. Collect the coefficients of x^2 in the right hand side and equate it to that of left hand side. You get on equation is a and b. Repeat the same thing for x to get another equation in a and b. Solve these two equations to find a and b.
Sorry but I'm having trouble understanding, could it be possible if you can solve it step by step?

6. Originally Posted by sleepingpanda
Sorry but I'm having trouble understanding, could it be possible if you can solve it step by step?
Sorry. We are supposed to give the hints, so that you can solve the problem your self. You are not showing any attempt on your part.
My hint is very clear.
What is the coefficient of x^2 on right hand side?
What is coefficients of x^2 on the left hand side?
Equate them. That is one equation.
Repeat the same thing for x.

7. Originally Posted by sa-ri-ga-ma
Sorry. We are supposed to give the hints, so that you can solve the problem your self. You are not showing any attempt on your part.
My hint is very clear.
What is the coefficient of x^2 on right hand side?
What is coefficients of x^2 on the left hand side?
Equate them. That is one equation.
Repeat the same thing for x.