$$25a^{2}-4b^{2}+28bc-49c^{2}$$
$\left(5a+2b-7c\right)\left(5a-2b+7c\right)$
$$25a^{2}-\left(4b^{2}-28bc+49c^{2}\right)$$
$$\left(5a\right)^{2}-\left(2b-7c\right)^{2}$$
$$\left(5a-2b+7c\right)\left(5a+2b-7c\right)$$
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$-\left(2b-7c\right)^{2}+25a^{2}$