What is expand (y''(t)+y)^2 ?

The solution to expand (y''(t)+y)^2 is (y''(t))^2+2y''(t)y+y^2

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expand (y''(t)+y)^2

expand

(y^{''} (t) + y)^{2}

(y'' (t))^{2} + 2 y'' (t) y + y^{2}

Solution steps

(y^{''} (t) + y)^{2}

Apply Perfect Square Formula:

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

a = y^{''} (t), b = y

= (y^{^{''}} (t))^{2} + 2 y^{^{''}} (t) y + y^{2}

\frac{2 x + 7}{( x + 3 ) ( x + 4 )}

16 (3 i + 1)^{8}

y (y d x - x d y) + 3 y^{4} - x^{4} (y d x + x d y)

\frac{16 ( 3 x ^{2} + 4 )}{( x ^{2} - 4 ) ^{3}}

(- 8, - 2) y (- 4, 6)

What is expand (y''(t)+y)^2 ?
The solution to expand (y''(t)+y)^2 is (y''(t))^2+2y''(t)y+y^2