What is 5x(a^2+1)+(x+1)(a^2+1) ?

The solution to 5x(a^2+1)+(x+1)(a^2+1) is a^2+6xa^2+6x+1

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simplify 5x(a^2+1)+(x+1)(a^2+1)

simplify

5 x (a^{2} + 1) + (x + 1) (a^{2} + 1)

a^{2} + 6 x a^{2} + 6 x + 1

Solution steps

5 x (a^{2} + 1) + (x + 1) (a^{2} + 1)

Expand

5 x (a^{2} + 1) : 5 x a^{2} + 5 x

= 5 x a^{2} + 5 x + (x + 1) (a^{2} + 1)

Expand

(x + 1) (a^{2} + 1) : x a^{2} + x + a^{2} + 1

= 5 x a^{2} + 5 x + x a^{2} + x + a^{2} + 1

Group like terms

= a^{2} + 5 x a^{2} + x a^{2} + 5 x + x + 1

Add similar elements:

5 x a^{2} + x a^{2} = 6 x a^{2}

= a^{2} + 6 x a^{2} + 5 x + x + 1

Add similar elements:

5 x + x = 6 x

= a^{2} + 6 x a^{2} + 6 x + 1

x^{2} + 2 2 x - 5

\frac{( x ^{2} - 1 )}{( x + 1 )} \cdot \frac{( x ^{2} + x )}{( x ^{2} - x )}

c {(2^{0} + 3^{- 1}) \cdot 9^{2}}

6.023 x 1 0^{23} + 8976.72 x 1 0^{19}

(8 t)^{4}

What is 5x(a^2+1)+(x+1)(a^2+1) ?
The solution to 5x(a^2+1)+(x+1)(a^2+1) is a^2+6xa^2+6x+1