factories 49y -25 please answer this fastly
Answers
Answer:
49y² - 25
= (7y)² - (5)²
= (7y+5)(7y-5)
the question should have been y²...
Step-by-step explanation:
STEP
1
:
Equation at the end of step 1
25 - 72y2
STEP
2
:
Trying to factor as a Difference of Squares:
2.1 Factoring: 25-49y2
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 : 25 is the square of 5
Check : 49 is the square of 7
Check : y2 is the square of y1
Factorization is : (5 + 7y) • (5 - 7y)
Final result :
(7y + 5) • (5 - 7y)
hope it helps you better understand that you are in the class