Question

Q.3.Simplify using suitable identities:

(iv) (√3 x - √2 y – 7)^2

please answer step by step

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Answer 1

Answer:

3x²+2y²+49-2√6xy+14√2y-14√3x

Step-by-step explanation:

(a+b+c)²=a²+b²+c²+2ab+2bc+2ca

(√3x-√2y-7)²

a=√3x,b=-√2y,c=-7

(√3x-√2y-7)²= (√3x)²+(-√2y)²+(-7)²+2(√3x)(-√2y)+2(-√2y)(-7)+2(-7)(√3x)

                    =3x²+2y²+49-2√6xy+14√2y-14√3x

(∵√3×√3=3,√2×√2=2,√3×√2=√3×2=√6)

Answer 2

Answer:

(a+b+c)²=a²+b²+c²+2ab+2bc+2ca

(√3x-√2y-7)²

a=√3,b=√2y,c=-7

(√3x-√2y-7)²=(√3x)²+(-√2y)²+(-7)²+2(√3x)(-√2y)+

2(-√2y)(-7)+2(-7)(√3x)

=3x²+2y²+49-2√6xy+14√2y-14 √3x.

Step-by-step explanation:

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