factor it. 81r^2-36rs+4s^2
you try, see above example that I did for you.
you won't learn how to factor without trying
post back where you are stuck
i have no idea how to do this...
81r^2 - 36rs + 4s^2
this one is a little harder than the above one I did for you
(9r - 2s)(9r - 2s) = (9r - 2s)^2
this is factored form.
To factor the expression 81r^2 - 36rs + 4s^2, we can use factoring techniques for quadratic expressions.
Step 1: Look for any common factors in the coefficients. In this case, we can see that all the coefficients are multiples of 4. So, we can factor out a common factor of 4 to simplify the expression:
4(81r^2 - 36rs + 4s^2)
Step 2: Now, let's focus on the quadratic expression within the parentheses: 81r^2 - 36rs + 4s^2. We can try to find two binomials that multiply together to give us this quadratic expression.
Step 3: Factor the quadratic expression by looking for two numbers that multiply to give the product of the coefficients of the quadratic term and the constant term (81 * 4 = 324) and add up to give the coefficient of the linear term (-36).
In this case, we need to find two numbers that multiply to give 324 and add up to -36. The numbers that satisfy this condition are -18 and -18.
Step 4: Rewrite the middle term (-36rs) using the two numbers (-18 and -18) that we found in the previous step:
4(81r^2 - 18rs - 18rs + 4s^2)
Step 5: Group the terms in pairs and factor out the common factors from each pair:
4[(81r^2 - 18rs) + (-18rs + 4s^2)]
Step 6: Factor out the common factor from each pair:
4[9r(9r - 2s) - 2s(9r - 2s)]
Step 7: Now, notice that we have a common binomial factor of "9r - 2s". Factor it out:
4(9r - 2s)(9r - 2s)
Step 8: Simplify the expression:
4(9r - 2s)^2
So, the factored form of the expression 81r^2 - 36rs + 4s^2 is 4(9r - 2s)^2.