Question

$(5x - 3) {}^{2}$
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Answer 1

$\huge\tt\colorbox{yellow}{Answer}$

$( {5x - 3)}^{2}$

(a - b) ² = a² + b² - 2ab

$( {5x - 3)}^{2} = {5x}^{2} + {3}^{2} - 2 \times 5x \times 3 \\ = 5 {x}^{2} + 9 - 30x \\ = 5 {x}^{2} - 30x + 9$

Answer 2

$\huge\tt\colorbox{black}{\color{blue}{Answer}}$

${(5x - 3)}^{2}$

$apply \: the \: identity$

${a}^{2} + {b}^{2} - 2ab$

$here \: a = 5x \: \: \: b = 3$

$= {(5x)}^{2} + {3}^{2} - 2(5x)(3)$

$= 25 {x}^{2} + 9 - 30x$

${ =}\bold\color{blue}{ ~25 {x}^{2} - 30x + 9}$