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3 years ago

Given: 4 < a < 5, 2 < b < 4

Mathematics

1 answer:

Virty [35]3 years ago

7 0

Answer:I hope this helped and need more help call me at 4076321760

ab • (a + b) • (a - b)

Step-by-step explanation:

a3b-b3a

Step by step solution :

Step 1 :

Step 2 :

Pulling out like terms :

2.1 Pull out like factors :

a3b - ab3 = ab • (a2 - b2)

Trying to factor as a Difference of Squares :

2.2 Factoring: a2 - b2

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 : a2 is the square of a1

Check : b2 is the square of b1

Factorization is : (a + b) • (a - b)

Final result :

ab • (a + b) • (a - b)

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ANSWER

The correct answer is B

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EXPLANATION

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<em>Hope this helps! <3</em>

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