Answer:
Area = a^4 + 10 a^2 + 6 a + 15
Step-by-step explanation:
Height: a^2+3
Width: a^2 +2a+5
Area of the entire rectangle = Height x Width
So we have to multiply both expressions and apply distributive property:
Area = (a^2 + 3) x (a^2 + 2a + 5)
Area = a^2 x (a^2 + 2a + 5) + 3 x (a^2 +2a + 5)
Area = a^4 + 2a^2 + 5a^2 + 3a^2 + 6a + 15
grouping terms of same power of a:
Area = a^4 + (2+5+3)a^2 + 6a + 15
Area = a^4 + 10 a^2 + 6 a + 15
