Question

(a-b+c)whole square formula

Answer 1

The given question is we have to find the square of a given expression.

the expression is a+b+c.

The square of this expression will be written as

(a+b+c)².

The term a+b+c is termed a trinomial.

If the expression involves more than two or three terms is called trinomial expression. The square of the sum of three terms is determined by the formula of the determination of the sum of two terms. we have to expand the square of the trinomial.

let the value of a+b be x.

The formula of

${(x + c)}^{2} = {x}^{2} + {c}^{2} + 2xc$

substitute the value of x as a+b.

we get

${(a + b +c )}^{2} = {( a+b )}^{2} + {c}^{2} + 2(a + b)c$

on expanding the above expression, we get the answers as

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

we can write the above expression in the correct order, and we get

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

Therefore, the formula for the given expression is found.

Hence, above is the final answer

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