Math, asked by harshit8747, 5 months ago

factories 49y -25 please answer this fastly ​

Answers

Answered by SweetPrapti
3

Answer:

49y² - 25

= (7y)² - (5)²

= (7y+5)(7y-5)

the question should have been y²...

Answered by konasushanth
1

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

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