What is the simplified form of 3 over 2x plus 5 + 21 over 8 x squared plus 26x plus 15 ? 6 time the quantity 2 x plus 5 end quantity over the quantity 2x minus 5 end quantity times 4 x plus 3 6 over the quantity 4 x plus 3 6 time the quantity x plus 1 end quantity over the quantity 2x minus 5 end quantity times 4 x plus 3 6 time the quantity x plus 1 end quantity over the quantity 2x plus 5 end quantity times 4 x plus 3

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What is the simplified form of 3 over 2x plus 5 + 21 over 8 x squared plus 26x plus 15 ? 6 time the quantity 2 x plus 5 end quantity over the quantity 2x minus 5 end quantity times 4 x plus 3 6 over the quantity 4 x plus 3 6 time the quantity x plus 1 end quantity over the quantity 2x minus 5 end quantity times 4 x plus 3 6 time the quantity x plus 1 end quantity over the quantity 2x plus 5 end quantity times 4 x plus 3

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The simplified form is 3 over 2x plus 5 + 21 over 8 x squared plus 26x plus 15 is 6 over the quantity 4 x plus 3.

The solution to this specific problem would be:

(3 / (2x + 5)) + (21 / (8x ^ 2 + 26x + 15))
= (3 / (2x + 5)) + (21 / (8x ^ 2 + 20x + 6x + 15))
= (3 / (2x + 5)) + (21 / (4x (2x + 5) + 3 (2x + 5))
= (3 / (2x + 5)) + (21 / (2x + 5) (4x + 3)
= [ 3 (4x + 3) + 21 ] / (2x + 5) (4x + 3)
= [ 12x + 9 + 21 ] / (2x + 5) (4x + 3)
= [ 12x + 30 ] / (2x + 5) (4x + 3)
= 6 (2x + 5) / (2x + 5) (4x + 3)
= 6 / (4x + 3)

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