Question

121x2
- 25y2 factories​

Answer 1

Step-by-step explanation:

Factoring: 121x2-25y2

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 : 121 is the square of 11

Check : 25 is the square of 5

Check : x2 is the square of x1

Check : y2 is the square of y1

Factorization is : (11x + 5y) • (11x - 5y)

Final result :

(11x + 5y) • (11x - 5y)

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