Question

what is the ans
(2m-3n-p)²=?​

Answer 1

Step-by-step explanation:

${(a - b - c)}^{2} = \\ {a}^{2} + {b}^{2} + {c}^{2} - 2(ab + bc + ac) \\ {(2m - 3n - p)}^{2} = \\ {2m}^{2} + {3n}^{2} + {p}^{2} - 2(6mn + 3np + 2mp) \\ 2 {m}^{2} + 3 {n}^{2} + {p}^{2} - 12mn - 6np - 4mp \\ this \:i s \: the \: required \: answer$

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Answer 2

Answer - 4m² + 9n² + p² -12mn +6np - 4pm

Step-by-step explanation:

Given f(x) = (2m-3n-p)², Expanded f(x) = ?

Using (α+β+∅)²=α²+β²+∅²+2(αβ+β∅+∅α)

Here, α=2m, β=-3n, ∅=-p

⇒ Expanded f(x) = (2m)² + (-3n)² + (-p)² + 2[ (2m)(-3n) + (-3n)(-p) + (-p)(2m)]

= 4m² + 9n² + p² + 2[ -6mn + 3np - 2pm ]

= 4m² + 9n² + p² -12mn +6np - 4pm