Question

factorize the following using appropriate properties

Answer 1

(a+b+c)²=a²+b²+c²+2ab+2bc+2ca
(-2a+5b-3c)=-2a²+5b²-3c²+2×(-2a)×(5b)+2×5b×(-3c)+2×(-3c)×(-2a)
=4a²+25b²+9c²-20ab-30bc+12ca

Answer 2

Answer:

${(a + b + c)}^{2} = {a}^{2} + {b}^{2} + {c}^{2} + 2ab + 2bc + 2ac \\ {( - 2 \alpha + 5 \beta - 3c)}^{2} = 4 {a}^{2} + 25 {b}^{2} + 9 {c}^{2} - 20ab - 30bc + 12ac$