Q3 Add the following polynomials
(3c^2 + 6c + 3) + (4c^2 - 5c + 1)
Q4 Simplify.
(7 x 11x) - (2 x 30)
Q5 Simplify the product using the distributive property
(3x - 5)(5x + 4)
Q6 If r = 2x + 5 Find the value of S, given the equation S = 4πr^2
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Q3
(3c^2 + 6c + 3) + (4c^2 - 5c + 1)
= 3c^2 + 6c + 3 + 4c^2 - 5c + 1
= (3c^2 + 4c^2) + (6c - 5c) + (3 + 1)
= 7c^2 + 1c + 4
Q4
(7 x 11x) - (2 x 30)
= 77x - 60
Q5
(3x - 5)(5x + 4)
= 3x(5x) + 3x(4) - 5(5x) - 5(4)
= 15x^2 + 12x - 25x - 20
= 15x^2 - 13x - 20
Q6
Given r = 2x + 5, we can substitute this value into the equation S = 4πr^2
S = 4π(2x + 5)^2
S = 4π(4x^2 + 20x + 25)
S = 16πx^2 + 80πx + 100π
Therefore, the value of S is 16πx^2 + 80πx + 100π.