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When multiplying two powers that have the same base ($1+x^2$), you can add the exponents
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$\left(1+x^2\right)^2-\left(2x+3\right)^2$
Learn how to solve simplification of algebraic expressions problems step by step online. Simplify the expression (1+x^2)(1+x^2)-(2x+3)^2. When multiplying two powers that have the same base (1+x^2), you can add the exponents. Expand the expression \left(1+x^2\right)^2 using the square of a binomial. Take the square of the first term: 1. Twice (2) the product of the two terms: 1 and x^2.