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\left(31-30x\right)\left(31+30x\right)
Rewrite 961-900x^{2} as 31^{2}-\left(30x\right)^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).
\left(-30x+31\right)\left(30x+31\right)
Reorder the terms.