Answer:
a2 – b2 = (a – b)(a + b)
(a + b)2 = a2 + 2ab + b2
a2 + b2 = (a + b)2 – 2ab
(a – b)2 = a2 – 2ab + b2
(a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca
(a – b – c)2 = a2 + b2 + c2 – 2ab + 2bc – 2ca
(a + b)3 = a3 + 3a2b + 3ab2 + b3 ; (a + b)3 = a3 + b3 + 3ab(a + b)
(a – b)3 = a3 – 3a2b + 3ab2 – b3 = a3 – b3 – 3ab(a – b)
a3 – b3 = (a – b)(a2 + ab + b2)
a3 + b3 = (a + b)(a2 – ab + b2)
(a + b)4 = a4 + 4a3b + 6a2b2 + 4ab3 + b4
(a – b)4 = a4 – 4a3b + 6a2b2 – 4ab3 + b4
a4 – b4 = (a – b)(a + b)(a2 + b2)
a5 – b5 = (a – b)(a4 + a3b + a2b2 + ab3 + b4
Answer:
x+2 x+2 x+2
Step-by-step explanation:
Answer:
Please see attachment
Step-by-step explanation:
Please see attachment
Answer:The 9 in the hundredths place is 0.1x the value of the 9 in the tenths place.
Step-by-step explanation:
Every place going forward is 10x forward, so this means that every place going backwards is 0.1x.
Answer: The system of inequalities would be,
x + y ≤ 130, x > 0.25y, x ≥ 0, y ≥0
Step-by-step explanation:
Here, x represents the amount to be planted in tomatoes and y represents the amount to be planted in cucumbers, ( in square ft )
Thus, the total area required ( in square ft )= x + y
Since, the available area = 130 ft²,
⇒ Total area ≤ 130 ft²
⇒ x + y ≤ 130,
∵ the area planted with tomatoes to be more than 25% of the area planet with cucumbers,
⇒ x > 25% of y
⇒ x > 0.25y
Also, area can not be negative,
⇒ x ≥ 0, y ≥ 0
