Answer:
(5a−3)^2
Step-by-step explanation:
25a^2 - 30a + 9
Factor the expression by grouping. First, the expression needs to be rewritten as 25a^2+pa+qa+9. To find p and q, set up a system to be solved.
p+q=−30
pq=25×9=225
Since pq is positive, p and q have the same sign. Since p+q is negative, p and q are both negative. List all such integer pairs that give product 225.
−1,−225
−3,−75
−5,−45
−9,−25
−15,−15
Calculate the sum for each pair.
−1−225=−226
−3−75=−78
−5−45=−50
−9−25=−34
−15−15=−30
The solution is the pair that gives sum −30.
p=−15
q=−15
Rewrite 25a^2 - 30a + 9 as (25a^2−15a)+(−15a+9).
(25a^2−15a)+(−15a+9)
Factor out 5a in the first and −3 in the second group.
5a(5a−3)−3(5a−3)
Factor out common term 5a−3 by using distributive property.
(5a−3)(5a−3)
Rewrite as a binomial square.
(5a−3)^2
Answer:
P(x) = x + 2
Piden: A = P(P(P(P(3))))
P(3); x = 3
P(3) = 3 + 2 = 5
A = P(P(P(P(3))))
A = P(P(P(5)))
P(5); x = 5
P(5) = 5 + 2 = 7
A = P(P(P(5)))
A = P(P(7))
P(7); x = 7
P(7) = 7 + 2 = 9
A = P(P(7))
A = P(9)
P(9); x = 9
P(9) = 9 + 2 = 11
→ A = P(P(P(P(3)))) = 11
Step-by-step explanation:
listo e
Answer:
=
−
8
Step-by-step explanation:
Combine like terms
Divide both sides of the equation by the same term
Simplify
Q = 16
View the attached image for work!
Let's solve your equation step-by-step.
7(x+2)=6(x+5)
Step 1: Simplify both sides of the equation.
7(x+2)=6(x+5)
(7)(x)+(7)(2)=(6)(x)+(6)(5)(Distribute)
7x+14=6x+30
Step 2: Subtract 6x from both sides.
7x+14−6x=6x+30−6x
x+14=30
Step 3: Subtract 14 from both sides.
x+14−14=30−14
x=16
Answer:
x=16