Question

factorise the following expression:
4a^2-25​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

22a2 - 25

STEP

2

:

Trying to factor as a Difference of Squares

2.1 Factoring: 4a2-25

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 : 4 is the square of 2

Check : 25 is the square of 5

Check : a2 is the square of a1

Factorization is : (2a + 5) • (2a - 5)

Final result :

(2a + 5) • (2a - 5)