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25x^{2}+16x+4
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25x^{2}+16x+4
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16x^{2}+16x+4+\left(3x\right)^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(4x+2\right)^{2}.
16x^{2}+16x+4+3^{2}x^{2}
Expand \left(3x\right)^{2}.
16x^{2}+16x+4+9x^{2}
Calculate 3 to the power of 2 and get 9.
25x^{2}+16x+4
Combine 16x^{2} and 9x^{2} to get 25x^{2}.
16x^{2}+16x+4+\left(3x\right)^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(4x+2\right)^{2}.
16x^{2}+16x+4+3^{2}x^{2}
Expand \left(3x\right)^{2}.
16x^{2}+16x+4+9x^{2}
Calculate 3 to the power of 2 and get 9.
25x^{2}+16x+4
Combine 16x^{2} and 9x^{2} to get 25x^{2}.
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