What is (0.64*x+0.64*sqrt(0.5*x^2+3.9))^2 ?

The solution to (0.64*x+0.64*sqrt(0.5*x^2+3.9))^2 is 0.6144x^2+0.8192xsqrt(0.5x^2+3.9)+1.59744

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simplify (0.64x+0.64sqrt(0.5*x^2+3.9))^2

simplify

(0.64 \cdot x + 0.64 \cdot 0.5 \cdot x^{2} + 3.9)^{2}

0.6144 x^{2} + 0.8192 x 0.5 x^{2} + 3.9 + 1.59744

Solution steps

(0.64 x + 0.64 0.5 x^{2} + 3.9)^{2}

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

(0.64 x + 0.64 0.5 x^{2} + 3.9)^{2} = (0.64 x)^{2} + 2 \cdot 0.64 x \cdot 0.64 0.5 x^{2} + 3.9 + (0.64 0.5 x^{2} + 3.9)^{2}

= (0.64 x)^{2} + 2 \cdot 0.64 x \cdot 0.64 0.5 x^{2} + 3.9 + (0.64 0.5 x^{2} + 3.9)^{2}

Simplify

(0.64 x)^{2} + 2 \cdot 0.64 x \cdot 0.64 0.5 x^{2} + 3.9 + (0.64 0.5 x^{2} + 3.9)^{2} : 0.6144 x^{2} + 0.8192 x 0.5 x^{2} + 3.9 + 1.59744

= 0.6144 x^{2} + 0.8192 x 0.5 x^{2} + 3.9 + 1.59744

(z - \frac{1}{3})^{4}

5 (6 + 7)

x^{\frac{1}{3}} (x + 8)

\frac{d}{d x} ((y) (x^{3} + a x^{2} + b x + c))

x + h \cdot (- x)

What is (0.64*x+0.64*sqrt(0.5*x^2+3.9))^2 ?
The solution to (0.64*x+0.64*sqrt(0.5*x^2+3.9))^2 is 0.6144x^2+0.8192xsqrt(0.5x^2+3.9)+1.59744