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  4. Determine the square root of (9 x2-30 x+25) (9 x2+30 x+25).

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Q. Determine the square root of $\left(9 x^2-30 x+25\right)$ $\left(9 x^2+30 x+25\right)$.

Polynomials and Square Roots of Algebraic Expressions

Solution:

$(9 x^2-30 x+25)(9 x^2+30 x+25)$
$=(3 x-5)^2(3 x+5)^2$
$\therefore$ Square root of the given expression
$=(3 x-5)(3 x+5)=9 x^2-25$