Question

We think you wrote:

5a^3-20a
This deals with simplification or other simple results.


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Answer 1

Answer:

STEP

• Equation at the end of step 1

$5 {a}^{3} - 20a$

STEP

• Pulling out like terms

$5 {a}^{3} - 20a = 5a • ( {a}^{2} - 4)$

Factoring: a² - 4

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 : a² is the square of a¹

Factorization is : (a + 2) • (a - 2)

Finale results

5a • (a + 2) • (a - 2)