What is expand (ax+by)(cx-dy) ?

The solution to expand (ax+by)(cx-dy) is acx^2-axdy+bcxy-bydy

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expand (ax+by)(cx-dy)

expand

(a x + b y) (c x - d y)

a c x^{2} - a x d y + b c x y - b y d y

Solution steps

(a x + b y) (c x - d y)

Apply FOIL method:

(a + b) (c + d) = a c + a d + b c + b d

a = a x, b = b y, c = c x, d = - d y

= a x c x + a x (- d y) + b yc x + b y (- d y)

Apply minus-plus rules

+ (- a) = - a

= a c xx - a x d y + b c x y - b y d y

a c xx = a c x^{2}

= a c x^{2} - a x d y + b c x y - b y d y

\frac{x + 1}{x ( x + 1 )} - \frac{( x - 1 ) x}{x ( x + 1 )}

\frac{x}{( ( 0.012 - x ) \cdot ( 0.04 - 4 x ) ^{4} )}

(a x + b y) (c + d y)

(a^{\frac{9}{2}} - b^{\frac{9}{2}})^{2}

(sin (x))^{2} + (6 + cos (x))^{2}

What is expand (ax+by)(cx-dy) ?
The solution to expand (ax+by)(cx-dy) is acx^2-axdy+bcxy-bydy