25x^2/4-y^2/9 please answer this question
Answers
Answer:
(15x + 2y) • (15x - 2y)
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36
Step-by-step explanation:
Step 1 :
y2
Simplify ——
9
Equation at the end of step 1 :
(25 • (x2)) y2
——————————— - ——
4 9
Step 2 :
Equation at the end of step 2 :
52x2 y2
———— - ——
4 9
Step 3 :
52x2
Simplify ————
4
Equation at the end of step 3 :
25x2 y2
———— - ——
4 9
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 225 is the square of 15
Check : 4 is the square of 2
Check : x2 is the square of x1
Check : y2 is the square of y1
Factorization is : (15x + 2y) • (15x - 2y)
Final result :
(15x + 2y) • (15x - 2y)
———————————————————————
36