Answer:
w^4 + 3w^3 + 11w^2 + 6w + 18.
Explanation:
Area = height * width
= (w^2 + 2)(w^2 + 3w + 9)
= w^2(w^2 + 3w + 9) + 2(w^2 + 3w + 9)
= w^4 + 3w^3 + 9w^2 + 2w^2 + 6w + 18
= w^4 + 3w^3 + 11w^2 + 6w + 18.
w⁴ + 3w³ + 11w² + 6w + 18
Rectanle area = height * width
area = (w²+3w+9)(w² + 2)
= w²*w² + w²*2 + 3w*w² + 3w*2 + 9*w² + 9*2
= w⁴ + 2w² + 3w³ + 6w + 9w² + 18
= w⁴+ 3w³ + (9w²+2w²) + 6w + 18
= w⁴ + 3w³ + 11w² + 6w + 18
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