Question

factorise a^3-16a..pls help​

Answer 1

Answer:

a^3 - 16a = a(a^2 - 16)

We can take 'a' as common factor

Step-by-step explanation:

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Answer 2

Answer:

(−4)(+4)

Step-by-step explanation:

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "a3" was replaced by "a^3".

STEP

1

:

STEP

2

:

Pulling out like terms

2.1 Pull out like factors :

a3 - 16a = a • (a2 - 16)

Trying to factor as a Difference of Squares:

2.2 Factoring: a2 - 16

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 : 16 is the square of 4

Check : a2 is the square of a1

Factorization is : (a + 4) • (a - 4)