Question

Pls answer this as fast as possible
Factorise 25-a2x2

Answer 1

Answer:

(ax+5)*(5-ax)

Step-by-step explanation:

Factoring:  25-a2x2  

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 :  a2  is the square of  a1  

Check :  x2  is the square of  x1  

Factorization is :       (5 + ax)  •  (5 - ax)  

Final result :

 (ax + 5) • (5 - ax)

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