What is (r+6)^2+(14r-11+r^2) ?

The solution to (r+6)^2+(14r-11+r^2) is 2r^2+26r+25

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simplify (r+6)^2+(14r-11+r^2)

simplify

(r + 6)^{2} + (14 r - 11 + r^{2})

2 r^{2} + 26 r + 25

Solution steps

(r + 6)^{2} + (14 r - 11 + r^{2})

Apply rule:

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

(r + 6)^{2} + (14 r - 11 + r^{2}) = (r + 6)^{2} + 14 r - 11 + r^{2}

= (r + 6)^{2} + 14 r - 11 + r^{2}

Expand

(r + 6)^{2} : r^{2} + 12 r + 36

= r^{2} + 12 r + 36 + 14 r - 11 + r^{2}

Group like terms

= r^{2} + r^{2} + 12 r + 14 r + 36 - 11

Add similar elements:

r^{2} + r^{2} = 2 r^{2}

= 2 r^{2} + 12 r + 14 r + 36 - 11

Add similar elements:

12 r + 14 r = 26 r

= 2 r^{2} + 26 r + 36 - 11

Subtract the numbers:

36 - 11 = 25

= 2 r^{2} + 26 r + 25

\frac{4}{5} \cdot 100

(4 x + 3)^{2}

\frac{4}{5} \div \frac{3}{5}

(7 a - 4 b + 5 c) + (- 7 a + 4 b - 6 c)

(x^{4 - 7 b + 3 c})^{2}

What is (r+6)^2+(14r-11+r^2) ?
The solution to (r+6)^2+(14r-11+r^2) is 2r^2+26r+25