Questions: 4b[2a^2-5(3ab-2b^2)]+29ab^2

Transcript text: 24. $4 b\left[2 a^{2}-5\left(3 a b-2 b^{2}\right)\right]+29 a b^{2}$

Solution

Solution Steps

Step 1: Expand the Expression

Start with the original expression: \[ 4b\left[2a^{2}-5\left(3ab-2b^{2}\right)\right]+29ab^{2} \] Distribute $4b$ into the bracket: \[ 4b(2a^{2}) - 4b(15ab) + 4b(10b^{2}) + 29ab^{2} \]

Step 2: Combine Like Terms

Combine the terms from the expansion: \[ 8ba^{2} - 60ab^{2} + 40b^{3} + 29ab^{2} \] This simplifies to: \[ 8ba^{2} - 31ab^{2} + 40b^{3} \]

Step 3: Factor the Expression

Factor out the common term $b$: \[ b(8a^{2} - 31ab + 40b^{2}) \]

Final Answer

$\boxed{b(8a^{2} - 31ab + 40b^{2})}$

Was this solution helpful?

Unhelpful

Helpful

Questions asked by other users

< Previous Next >