What is expand (4t-11p)(4t'+11p) ?

The solution to expand (4t-11p)(4t'+11p) is 16tt'+44pt-44pt'-121p^2

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expand (4t-11p)(4t'+11p)

expand

(4 t - 11 p) (4 t^{'} + 11 p)

16 tt' + 44 pt - 44 pt' - 121 p^{2}

Solution steps

(4 t - 11 p) (4 t^{'} + 11 p)

Apply FOIL method:

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

a = 4 t, b = - 11 p, c = 4 t^{'}, d = 11 p

= 4 t \cdot 4 t^{^{'}} + 4 t \cdot 11 p + (- 11 p) \cdot 4 t^{^{'}} + (- 11 p) \cdot 11 p

Apply minus-plus rules

+ (- a) = - a

= 4 \cdot 4 t t^{^{'}} + 4 \cdot 11 pt - 11 \cdot 4 p t^{^{'}} - 11 \cdot 11 pp

Simplify

4 \cdot 4 t t^{'} + 4 \cdot 11 pt - 11 \cdot 4 p t^{'} - 11 \cdot 11 pp : 16 t t^{'} + 44 pt - 44 p t^{'} - 121 p^{2}

= 16 t t^{'} + 44 pt - 44 p t^{'} - 121 p^{2}

\frac{( x + 3 ) ( 2 x + 1 )}{4}

\frac{x + 5}{( 2 x + 3 ) ( x + 4 )}

- y (ln (y) - tan (x) \cdot t) d x

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

\frac{d ^{2}}{d x ^{2}} ((y) (4 x - 8))

What is expand (4t-11p)(4t'+11p) ?
The solution to expand (4t-11p)(4t'+11p) is 16tt'+44pt-44pt'-121p^2