What is (3sqrt(2)-7)^2 ?

The solution to (3sqrt(2)-7)^2 is 67-42sqrt(2)

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simplify (3sqrt(2)-7)^2

simplify

(32 - 7)^{2}

67 - 422

Decimal Notation

7.60303 \dots

Solution steps

(32 - 7)^{2}

Apply Perfect Square Formula:

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

(32 - 7)^{2} = (32)^{2} - 2 \cdot 32 \cdot 7 + 7^{2}

= (32)^{2} - 2 \cdot 32 \cdot 7 + 7^{2}

(32)^{2} - 2 \cdot 32 \cdot 7 + 7^{2} = 67 - 422

= 67 - 422

\frac{1}{2} 8

(- 5 x^{2} - 7 x + 2) - (- 5 x^{2} + 7 x + 2)

8 x^{2} + 6 x - 8

4 p^{4} q + 32 p q^{4}

(2 x + y) (4 x - 9 y)