Question

Solve this:-
$(2x - y + z)^{2}$
by using the formula given below:-
$(a - b + c)^{2}$

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Answer 1

Step-by-step explanation:

we know,

$(a - b + c) ^{2} = {a}^{2} + {b}^{2} + {c}^{2} - 2ab - 2bc + 2ca$

putting

a=2x

b=y

c=z,,,,

$(2x - y + z) ^{2} \\ = {2x}^{2} + {y}^{2} + {z}^{2} - 2 \times 2x \times y - 2 \times y \times z + 2 \times 2x \times z \\ = 2 {x}^{2} + {y}^{2} + {z}^{2} - 4xy - 2yz + 4zx$