Question

Calculați utilizând formulele de calcul prescurtat:
a) (x-√2)²
b) (x+y²)(x-y²)
c) (7+√3)²
d) (2x+3y)(2x-3y)​

Answer 1

a)

$(x - \sqrt{2} ) {}^{2} = {x}^{2} - 2x \sqrt{2} + 2$

b)

$(x + {y}^{2} )(x - {y}^{2} ) = {x}^{2} - {y}^{4}$

c)

$(7 + \sqrt{3} ) {}^{2} = 7 {}^{2} + 2 \times 7 \times \sqrt{3} + ( \sqrt{3} ) {}^{2} = 49 + 14 \sqrt{3} + 3 = 52 + 14 \sqrt{3} = 2(26 + 7 \sqrt{3} )$

d)

$(2x + 3y)(2x - 3y) = (2x) {}^{2} - (3y) {}^{2} = 4x {}^{2} - 9y {}^{2}$

Sper că am ajutat! An Nou fericit!