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(A) The area of a square is given by the formula: $	ext{Area} = (	ext{side})^2$.Given, $	ext{Area} = 9x^2 + 30x + 25$.We can factorize this quadrat

Vedclass · Accepted Answer

$(3x + 5)$

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(A) The area of a square is given by the formula: $	ext{Area} = (	ext{side})^2$.Given, $	ext{Area} = 9x^2 + 30x + 25$.We can factorize this quadratic expression:$9x^2 + 30x + 25 = (3x)^2 + 2(3x)(5) + (5)^2$.Using the algebraic identity $(a + b)^2 = a^2 + 2ab + b^2$, where $a = 3x$ and $b = 5$, we get:$9x^2 + 30x + 25 = (3x + 5)^2$.Since $	ext{Area} = (	ext{side})^2$, the length of the side is $(3x + 5)$ units.

Give a possible expression for the length of a side of a square whose area is $(9x^2 + 30x + 25)$ square units, where $(x > 0)$.

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