$$ \left. \begin{array} { l } { 4.25 a ^ { 4 } + 34 a ^ { 2 } b ^ { 2 } + 49 b ^ { 4 } } \ { 5.45 r ^ { 2 } + m } \end{array} ight. $$

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$$ \left. \begin{array} { l } { 4.25 a ^ { 4 } + 34 a ^ { 2 } b ^ { 2 } + 49 b ^ { 4 } } \ { 5.45 r ^ { 2 } + m } \end{array} ight. $$

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The first expression can be factored as $$(2.05 a^2 + 7 b^2)^2$$. The second expression does not have a straightforward factorization. It looks like you've provided two expressions, one involving variables $$a$$ and $$b$$, and the other involving variables $$r$$ and $$m$$. 1. The first expression is: $$ 4.25 a^4 + 34 a^2 b^2 + 49 b^4 $$ This expression can be factored. Notice that it resembles a quadratic in terms of $$a^2$$ and $$b^2$$. We can rewrite it as: $$ 4.25 (a^2)^2 + 34 (a^2)(b^2) + 49 (b^2)^2 $$ This can be factored as: $$ (2.05 a^2 + 7 b^2)^2 $$ 2. The second expression is: $$ 5.45 r^2 + m $$ This expression does not have a straightforward factorization without additional context or constraints on $$m$$. If you have a specific question or need further assistance with these expressions, please let me know!

\( \left. \begin{array} { l } { 4.25 a ^ { 4 } + 34 a ^ { 2 } b ^ { 2 } + 49 b ^ { 4 } } \\ { 5.45 r ^ { 2 } + m } \end{array} \right. \)

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\( \left. \begin{array} { l } { 4.25 a ^ { 4 } + 34 a ^ { 2 } b ^ { 2 } + 49 b ^ { 4 } } \\ { 5.45 r ^ { 2 } + m } \end{array} \right. \)

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