Simplify A(B+C)+AB+ABC

asked by guest
on Nov 26, 2024 at 12:47 am



You asked:

Simplify the expression: A(B+C)+AB+ABCA \left(B + C\right) + A B + A B C

MathBot Answer:

Simplified:

A(B+C)+AB+ABC=A(BC+2B+C) A\left( B + C \right) + A B + A B C = A \left(B C + 2 B + C\right)

A(B+C)+AB+ABC=AB+ABC+AB+AC=A(BC+2B+C)\begin{aligned}A \left(B + C\right) + A B + A B C&=A B + A B C + A B + A C\\&=A \left(B C + 2 B + C\right)\end{aligned}

Expanded:

A(B+C)+AB+ABC=ABC+2AB+AC A\left( B + C \right) + A B + A B C = A B C + 2 A B + A C

Factored:

A(B+C)+AB+ABC=A(BC+2B+C) A\left( B + C \right) + A B + A B C = A \left(B C + 2 B + C\right)


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