Question

Simplify (2√2-5)^2+(3√2+√3)^2-(√2-1)^2

Answer 1

Step-by-step explanation:

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

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

(2√2-5)^2+(3√2+√3)^2-(√2-1)^2

(8-20√2+25)+(18+6√6+3)-(2-2√2+1)

8-20√2+25+18+6√6+3-2+2√2-1

8-18√2+25+18+6√6

-18√2+51+6√6