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The trinomial $1+a^{10}-2a^5$ is a perfect square trinomial, because it's discriminant is equal to zero
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$\Delta=b^2-4ac=-2^2-4\left(1\right)\left(1\right) = 0$
Learn how to solve simplification of algebraic expressions problems step by step online. Simplify the expression 1+a^10-2a^5. The trinomial 1+a^{10}-2a^5 is a perfect square trinomial, because it's discriminant is equal to zero. Using the perfect square trinomial formula. Factoring the perfect square trinomial.