If (5x - 3)^2 = 25x^2 + kx + 9,then find k. | vedclass

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(D) Given the equation: $(5x - 3)^2 = 25x^2 + kx + 9$.We use the algebraic identity $(a - b)^2 = a^2 - 2ab + b^2$.Here,$a = 5x$ and $b = 3$.Expanding

Vedclass · Accepted Answer

-$30$

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(D) Given the equation: $(5x - 3)^2 = 25x^2 + kx + 9$.We use the algebraic identity $(a - b)^2 = a^2 - 2ab + b^2$.Here,$a = 5x$ and $b = 3$.Expanding the left side: $(5x - 3)^2 = (5x)^2 - 2(5x)(3) + (3)^2$.$(5x - 3)^2 = 25x^2 - 30x + 9$.Comparing this with the given expression $25x^2 + kx + 9$,we get:$25x^2 - 30x + 9 = 25x^2 + kx + 9$.By comparing the coefficients of $x$,we find $k = -30$.

If $(5x - 3)^2 = 25x^2 + kx + 9$,then find $k$.

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