展开 (y+4)sqrt(-sin^2(2y)+cos^2(2x))

解答

展开

(y + 4) - sin^{2} (2 y) + cos^{2} (2 x)

y - sin^{2} (2 y) + cos^{2} (2 x) + 4 - sin^{2} (2 y) + cos^{2} (2 x)

求解步骤

(y + 4) - sin^{2} (2 y) + cos^{2} (2 x)

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

使用分配律:

a (b + c) = ab + a c

- sin^{2} (2 y) + cos^{2} (2 x) (y + 4) = - sin^{2} (2 y) + cos^{2} (2 x) y + - sin^{2} (2 y) + cos^{2} (2 x) \cdot 4

= - sin^{2} (2 y) + cos^{2} (2 x) y + - sin^{2} (2 y) + cos^{2} (2 x) \cdot 4

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

e x p an d \frac{[ x - 1 ]}{[ ( x + 1 ) ( x - 5 ) ( x + 7 ) ]}

e x p an d (2 - 2)^{5}

e x p an d (2 x - y) d x + (y^{2} - x) d y

s im pl i f y \frac{1}{3} cos^{4} (x) + sin (x) (sin (x) - \frac{sin ^{3} ( x )}{3})

e x p an d (1 + x^{2}) \cdot 1 + x^{2}