What is s^2(1+0.06s)^2(1+0.22s)^2 ?

The solution to s^2(1+0.06s)^2(1+0.22s)^2 is s^2(0.06s+1)^2(0.22s+1)^2

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simplify s^2(1+0.06s)^2(1+0.22s)^2

simplify

s^{2} (1 + 0.06 s)^{2} (1 + 0.22 s)^{2}

s^{2} (0.06 s + 1)^{2} (0.22 s + 1)^{2}

Solution steps

s^{2} (1 + 0.06 s)^{2} (1 + 0.22 s)^{2}

Apply exponent rule:

a^{m} b^{m} = (ab)^{m},

assuming

a \geq 0, b \geq 0

s^{2} (0.06 s + 1)^{2} (0.22 s + 1)^{2} = (s (0.06 s + 1) (0.22 s + 1))^{2}

= (s (0.06 s + 1) (0.22 s + 1))^{2}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

= s^{2} (0.06 s + 1)^{2} (0.22 s + 1)^{2}

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(2 e^{- 51} sin (5 t)) U (t)

(2.01 + 3)^{2} \frac{( x ^{2} - 2 ) ^{2}}{( x - 3 ) ^{2}}

What is s^2(1+0.06s)^2(1+0.22s)^2 ?
The solution to s^2(1+0.06s)^2(1+0.22s)^2 is s^2(0.06s+1)^2(0.22s+1)^2