(x-y)^2 +4xy = (x+y)^2
FOIL
x^2 -2xy+y^2 +4xy = (x+y)^2 x^2 -2xy
Combine like terms
x^2 +2xy +y^2 = (x+y)^2 x^2 +2xy
Factor
(x+y)^2 = (x+y)^2 (x+y)^2
Answer:
Each dice has six combinations which are independent. Therefore the number of possible outcomes will be 6*6 = 36. The probability of rolling a pair of dice whose numbers add to 5 is 4/36 = 1/9.
Step-by-step explanation:
For the odds of these two numbers coming up at the same time, you multiply the odds of one times the odds of the other. 5/6 × 1/6 = 5/36. So the odds that you'll roll 2 dice total six are 5/36 each time you roll ( or approximately 1 chance in 7).
Answer: D
Step-by-step explanation:
From the equation given , ( -3)⁰(2x⁻¹y⁻¹)²
Recall :From the laws of indicies,
x⁰ = 1 ,and (xᵃ)ᵇ = xᵃ ˣ ᵇ = xᵃᵇ. and x⁻¹ = 1/ₓ
Therefore,
(-3)⁰ = 1,
( 2x⁻¹y⁻1 )² = 2²x⁻¹ ˣ ²y⁻¹ x ²
= 2²x⁻²y⁻²
=4x⁻²y⁻²
Now going by the law above, the expression will be
=4/ₓ²y²
So the answer is D
Angle 1 = 37 degrees
152 and the angle adjacent to it add up to 180 degrees so
180-152= 28 degrees
All the angles of a triangle add up to 180 degrees so
28 + 115 = 143
180-143 = 37 degrees
