What is ((4+7sqrt(a))(7-4sqrt(a)))/(49-16a) ?

The solution to ((4+7sqrt(a))(7-4sqrt(a)))/(49-16a) is (28+33sqrt(a)-28a)/(49-16a)

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simplify ((4+7sqrt(a))(7-4sqrt(a)))/(49-16a)

simplify

\frac{( 4 + 7 a ) ( 7 - 4 a )}{49 - 16 a}

\frac{28 + 33 a - 28 a}{49 - 16 a}

Solution steps

\frac{( 4 + 7 a ) ( 7 - 4 a )}{49 - 16 a}

Apply FOIL method:

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

(4 + 7 a) (7 - 4 a) = 4 \cdot 7 + 4 (- 4 a) + 7 a \cdot 7 + 7 a (- 4 a)

= \frac{4 \cdot 7 + 4 ( - 4 a ) + 7 a \cdot 7 + 7 a ( - 4 a )}{49 - 16 a}

Simplify

4 \cdot 7 + 4 (- 4 a) + 7 a \cdot 7 + 7 a (- 4 a) : 28 + 33 a - 28 a

= \frac{28 + 33 a - 28 a}{49 - 16 a}

z - (\frac{1}{3})^{(n - 2)} u (n - 2)

\frac{d}{d s} ((w (s, x (w, s), y (w, s), z (w, s))) (x (w, s)^{2} + y (w, s)^{2} + z (w, s)^{2}))

f (1 - sin (1))

f (2 y + 3) (y - 3) d y

\frac{3}{1 - x}

What is ((4+7sqrt(a))(7-4sqrt(a)))/(49-16a) ?
The solution to ((4+7sqrt(a))(7-4sqrt(a)))/(49-16a) is (28+33sqrt(a)-28a)/(49-16a)