Question

Expand: (a – 2b + 3c)²​

Answer 1

Step-by-step explanation:

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$(a - b + c) {}^{2} = a { }^{2} + {b}^{2} + {c}^{2} - 2ab - 2bc + 2ca \\ ( {a}^{2} ) + ( { - 2b})^{2} + ({3c})^{2} - 2(a)( - 2b) - 2( - 2b)(3c) + 2(3c)(a) \\ ( {a}^{2} ) + ( { - 2b})^{2} + ({3c})^{2} - 2( - 2ab) - 2( - 6bc) + 2(3ac) \\ ( {a}^{2} ) + ( { - 2b})^{2} + ({3c})^{2} + 4ab + 12bc + 6ac$

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