Answer:The answer is choice B
Step-by-step explanation: (3x-2y)2-(2x-3y)2
Final result :
5 • (x + y) • (x - y)
Step by step solution :
Step 1 :
1.1 Evaluate : (3x-2y)2 = 9x2-12xy+4y2
1.2 Evaluate : (2x-3y)2 = 4x2-12xy+9y2
Step 2 :
Pulling out like terms :
2.1 Pull out like factors :
5x2 - 5y2 = 5 • (x2 - y2)
Trying to factor as a Difference of Squares :
2.2 Factoring: x2 - y2
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : x2 is the square of x1
Check : y2 is the square of y1
Factorization is : (x + y) • (x - y)
Final result :
5 • (x + y) • (x - y)
Number 1 is B
Number 2 is also B
1 1/2
Hoped this helps! Mark as branliest if possible!
Here are the resulting percentages:
LEAH = 3.5%
RATHA = 2.3%
ED = 1.8%
CHRIS = 4.2%
MARY = 2.5%
You arrive at this answer by dividing the bonus by the wages
BONUS/WAGE = PERCENTAGE OF BONUS TO WAGE.
Chris had the greatest percentage of wages in his bonus
Since there are 5 sunglasses with browline frames and polarized lenses, you would divide 5 by 16, therefore, the answer should be 5/16.
