Answer:
x(x+5)^2
Step-by-step explanation:
x^3+ 10x^2+25x
factor out an x
x(x^2+10x+25)
what numbers multiply to 25 and add to 10
x(x+5) (x+5)
x(x+5)^2
Answer:
90 bags of sand
Step-by-step explanation:
9 feet × 1.5 = 13.5
12 feet × 1.5 = 18
Large pit area= 13.5 × 18 = 243ft squared
The small pit area=9 × 12 = 108ft squared
243 / 108 = 2.25 times larger
This means the large pit needs 2.25 times more sand.
40 × 2.25 = 90 bags of sand
Answer:
Width = 7 cm
Length = 15 cm
Step-by-step explanation:
Let width = w
Length = w + 8
Area of rectangle = 105 sq. cm
length * breadth = 105
(w + 8)*w = 105
Use distributive property
w² + 8w = 105
w² + 8w - 105 = 0
Sum = 8
Product = -105
Factors = 15 , -7 {15 +(-7) = 8 & 15*(-7) = -105}
w² - 7m + 15m - 105 = 0
w(w - 7) + 15(m - 7) = 0
(w - 7)(w + 15) = 0
Ignore w + 15= 0 as measurements will not be in negative value
w - 7 = 0
w = 7
Width = 7 cm
Length = 7 + 8 = 15 cm
The solution to the problem is x < 31/55