What is expand (4y-t^2,(4-t)^2)*(-1,4-2t) ?

The solution to expand (4y-t^2,(4-t)^2)*(-1,4-2t) is -4*1*y,4-4*2yt+t^2,1*(4-t)^2,4+t^2,2t(4-t)^2

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expand (4y-t^2,(4-t)^2)*(-1,4-2t)

expand

(4 y - t^{2}, (4 - t)^{2}) \cdot (- 1, 4 - 2 t)

- 4 \cdot 1 \cdot y, 4 - 4 \cdot 2 y t + t^{2}, 1 \cdot (4 - t)^{2}, 4 + t^{2}, 2 t (4 - t)^{2}

Solution steps

(4 y - t^{2}, (4 - t)^{2}) (- 1, 4 - 2 t)

= (4 y -, t^{2} (4 - t)^{2}) (- 1 \cdot 4, - 2 t)

Apply FOIL method:

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

a = 4 y, b = - t^{2}, (4 - t)^{2}, c = - 1, 4, d = - 2 t

= 4 y (- 1, 4) + 4 y (- 2 t) + (- t^{2}, (4 - t)^{2}) (- 1, 4) + (- t^{2}, (4 - t)^{2}) (- 2 t)

Apply minus-plus rules

+ (- a) = - a, (- a) (- b) = ab

= - 4 \cdot 1 \cdot y, 4 - 4 \cdot 2 y t + t^{2}, 1 \cdot (4 - t)^{2}, 4 + t^{2}, 2 t (4 - t)^{2}

(x - i)^{3}

e^{x} (x e^{- x} - e^{- x})

x (\frac{( 3 x - 10 ) ^{3}}{100} + 10)

m sin (\frac{π}{6} (k + 1)) + n cos (\frac{π}{6} (k + 1))

(36 + a^{2} + 64 + b^{2})^{2}

What is expand (4y-t^2,(4-t)^2)*(-1,4-2t) ?
The solution to expand (4y-t^2,(4-t)^2)*(-1,4-2t) is -4*1*y,4-4*2yt+t^2,1*(4-t)^2,4+t^2,2t(4-t)^2