Evaluate
2\left(2x+3\right)^{2}-9
Expand
8x^{2}+24x+9
Graph
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2\left(9+12x+4x^{2}\right)-9
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(3+2x\right)^{2}.
18+24x+8x^{2}-9
Use the distributive property to multiply 2 by 9+12x+4x^{2}.
9+24x+8x^{2}
Subtract 9 from 18 to get 9.
2\left(9+12x+4x^{2}\right)-9
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(3+2x\right)^{2}.
18+24x+8x^{2}-9
Use the distributive property to multiply 2 by 9+12x+4x^{2}.
9+24x+8x^{2}
Subtract 9 from 18 to get 9.
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