Respuesta :


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:

[tex]2x^2(4x^2+9x-13)=8x^4+18x^3-26x^2[/tex]

Step-by-step explanation:

Given : Expression [tex]2x^2(4x^2+9x-13)[/tex]

To find : Simplify the expression ?

Solution :

Step 1 - Write the expression,

[tex]2x^2(4x^2+9x-13)[/tex]

Step 2 - Apply distributive property, [tex]a(b+c)=ab+ac[/tex]

[tex](2x^2)\times (4x^2)+(2x^2)\times(9x)-(2x^2)\times(13)[/tex]

Step 3 - Multiply the terms,

[tex]8x^4+18x^3-26x^2[/tex]

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