We read your photo as:

The denominator is 4a² - b². This is a difference of squares, which factors as (2a)² - b² = (2a - b)(2a + b).

Mathematics

ScanSolve AI Answer

Answer

a−2b2a−b\frac{a - 2b}{2a - b}

Step-by-step solution

2 steps

  1. Factor the denominator.

    The denominator is 4a2−b24a^2 - b^2. This is a difference of squares, which factors as (2a)2−b2=(2a−b)(2a+b)(2a)^2 - b^2 = (2a - b)(2a + b).

  2. Simplify the expression.

    Substitute the factored forms of the numerator and denominator back into the expression:

    2a2−3ab−2b24a2−b2=(2a+b)(a−2b)(2a−b)(2a+b)\frac{2a^2 - 3ab - 2b^2}{4a^2 - b^2} = \frac{(2a + b)(a - 2b)}{(2a - b)(2a + b)}

    Cancel out the common factor (2a+b)(2a + b):

    a−2b2a−b\frac{a - 2b}{2a - b}
Was this helpful?

Try one yourself

A new problem that tests the same skill.

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question

More Mathematics Questions

QFactor the denominator using the difference of squares formula, a² − b² = (a-b)(a+b).QUse the formula (a-b)² = a² − 2ab + b².QSolve the equation: 4x² − 4(a²−b²)x + (a⁴−b⁴) = 0QSimplify the algebraic expression: a2 + b2 - b2QMultiply (2a − b) by (2a + b).
See all Mathematics questions →
Got a syllabus? Photograph it and I'll tell you what's due and what's worth the most.
Handwritten step-by-step solution preview

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp