Question

simplify (3p-1)²-(3p-2)(3p+1)

Answer 1

x i think so it will be help for you

Answer 2

Answer :


$(3p - {1})^{2} - (3p - 2)(3p + 1) \\ \\ use \: ( {a - b)}^{2} = {a}^{2} - 2ab + {b}^{2} \\ and \: expand \: \\ \\ {(3p)}^{2} - 2 \times 3p \times 1 + {1}^{2} \\ \\ {9p}^{2} - 6p + 1 \\ \\ collect \: like \: terms \\ \\ {9p}^{2} - 6p + 1 - ( {9p}^{2} - 3p - 2) \\ \\ remove \: bracket \: and \: change \: sign\\ \\ {9p}^{2} - 6p + 1 - {9p}^{2} + 3p + 2 \\ \\ subtract \: the \: opposite \\ \\ - 6p + 1 + 3p + 2 \\ \\ collect \: like \: terms \\ \\ - 3p + 1 + 2 \\ \\ add \: the \: numbers \\ \\ - 3p + 3$



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