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Expand the expression $\left(21+x\right)^2$ using the square of a binomial: $(a+b)^2=a^2+2ab+b^2$
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$\lim_{x\to0}\left(\frac{441+42x+x^{2}-441}{x}\right)$
Learn how to solve limits by direct substitution problems step by step online. Find the limit of ((21+x)^2-441)/x as x approaches 0. Expand the expression \left(21+x\right)^2 using the square of a binomial: (a+b)^2=a^2+2ab+b^2. Subtract the values 441 and -441. Factor the polynomial 42x+x^{2} by it's greatest common factor (GCF): x. Simplify the fraction \frac{x\left(42+x\right)}{x} by x.