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Verified Answer :


The solution to the problem is as follows:

Distribute 2x² into each term to get: 

2x² 4x² + 2x² 9x + 2x² * -13 

= 8x^4 + 18x³ - 26x² 


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Answer:

\(2x^2(4x^2+9x-13)=8x^4+18x^3-26x^2\)

Step-by-step explanation:

Given : Expression \(2x^2(4x^2+9x-13)\)

To find : Simplify the expression ?

Solution :

Step 1 - Write the expression,

\(2x^2(4x^2+9x-13)\)

Step 2 - Apply distributive property, \(a(b+c)=ab+ac\)

\((2x^2)\times (4x^2)+(2x^2)\times(9x)-(2x^2)\times(13)\)

Step 3 - Multiply the terms,

\(8x^4+18x^3-26x^2\)

Therefore, The simplified form is  \(2x^2(4x^2+9x-13)=8x^4+18x^3-26x^2\)