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Expand the expression $\left(x+2\right)^2$ using the square of a binomial: $(a+b)^2=a^2+2ab+b^2$
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$x^{2}+4x+4=\left(x+1\right)^2+x+1$
Learn how to solve problems step by step online. Solve the quadratic equation (x+2)^2=(x+1)^2+x+1. Expand the expression \left(x+2\right)^2 using the square of a binomial: (a+b)^2=a^2+2ab+b^2. Move everything to the left hand side of the equation. Subtract the values 4 and -1. Combining like terms 4x and -x.