Evaluate
\left(x+4\right)\left(3x+20\right)
Expand
3x^{2}+32x+80
Graph
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3\left(x^{2}+4x+4\right)+20\left(x+2\right)+28
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+2\right)^{2}.
3x^{2}+12x+12+20\left(x+2\right)+28
Use the distributive property to multiply 3 by x^{2}+4x+4.
3x^{2}+12x+12+20x+40+28
Use the distributive property to multiply 20 by x+2.
3x^{2}+32x+12+40+28
Combine 12x and 20x to get 32x.
3x^{2}+32x+52+28
Add 12 and 40 to get 52.
3x^{2}+32x+80
Add 52 and 28 to get 80.
3\left(x^{2}+4x+4\right)+20\left(x+2\right)+28
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+2\right)^{2}.
3x^{2}+12x+12+20\left(x+2\right)+28
Use the distributive property to multiply 3 by x^{2}+4x+4.
3x^{2}+12x+12+20x+40+28
Use the distributive property to multiply 20 by x+2.
3x^{2}+32x+12+40+28
Combine 12x and 20x to get 32x.
3x^{2}+32x+52+28
Add 12 and 40 to get 52.
3x^{2}+32x+80
Add 52 and 28 to get 80.
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