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Sagot :
Answer:
The area = x³ + 4x² - 27x + 40
Step-by-step explanation:
We can find the expression for the area of the rectangle by using the distributive property formula:
[tex]\boxed{a(b+c)=ab+ac}[/tex]
[tex]Area=length\times width[/tex]
[tex]Area=(x^2-4x+5)(x+8)[/tex]
Let:
- [tex](x^2-4x+5)=a[/tex]
- [tex](x+8)=(b+c)[/tex]
Then:
[tex]Area=(x^2-4x+5)(x+8)[/tex]
[tex]=(x^2-4x+5)(x)+(x^2-4x+5)(8)[/tex]
[tex]=(x^3-4x^2+5x)+(8x^2-32x+40)[/tex]
[tex]=x^3-4x^2+8x^2+5x-32x+40[/tex]
[tex]=x^3+4x^2-27x+40[/tex]
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