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3\left(x^{2}+14x+49\right)+22\left(x+7\right)+7
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+7\right)^{2}.
3x^{2}+42x+147+22\left(x+7\right)+7
Use the distributive property to multiply 3 by x^{2}+14x+49.
3x^{2}+42x+147+22x+154+7
Use the distributive property to multiply 22 by x+7.
3x^{2}+64x+147+154+7
Combine 42x and 22x to get 64x.
3x^{2}+64x+301+7
Add 147 and 154 to get 301.
3x^{2}+64x+308
Add 301 and 7 to get 308.
3\left(x^{2}+14x+49\right)+22\left(x+7\right)+7
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+7\right)^{2}.
3x^{2}+42x+147+22\left(x+7\right)+7
Use the distributive property to multiply 3 by x^{2}+14x+49.
3x^{2}+42x+147+22x+154+7
Use the distributive property to multiply 22 by x+7.
3x^{2}+64x+147+154+7
Combine 42x and 22x to get 64x.
3x^{2}+64x+301+7
Add 147 and 154 to get 301.
3x^{2}+64x+308
Add 301 and 7 to get 308.