What is (xsqrt(7)-3sqrt(8))(xsqrt(7)-3sqrt(8)) ?

The solution to (xsqrt(7)-3sqrt(8))(xsqrt(7)-3sqrt(8)) is 7x^2-12sqrt(14)x+72

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simplify (xsqrt(7)-3sqrt(8))(xsqrt(7)-3sqrt(8))

simplify

(x 7 - 38) (x 7 - 38)

7 x^{2} - 1214 x + 72

Solution steps

(x 7 - 38) (x 7 - 38)

Apply exponent rule:

aa = a^{2}

(x 7 - 38) (x 7 - 38) = (x 7 - 38)^{2}

= (x 7 - 38)^{2}

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

(x 7 - 38)^{2} = (x 7)^{2} - 2 x 7 \cdot 38 + (38)^{2}

= (x 7)^{2} - 2 x 7 \cdot 38 + (38)^{2}

Simplify

(x 7)^{2} - 2 x 7 \cdot 38 + (38)^{2} : 7 x^{2} - 1214 x + 72

= 7 x^{2} - 1214 x + 72

z^{2} b^{2} + z b - 2

\frac{10 !}{4 ! 6 !}

\frac{2 x ^{2} y}{6 x y ^{- 1}}

(\frac{a}{b ^{2}})^{- 2} (\frac{a}{b ^{2}})^{- 3}

∣ x ∣ = 6.5

What is (xsqrt(7)-3sqrt(8))(xsqrt(7)-3sqrt(8)) ?
The solution to (xsqrt(7)-3sqrt(8))(xsqrt(7)-3sqrt(8)) is 7x^2-12sqrt(14)x+72