2. Factoniza las 5,9uientes expiesiones: a) \( 14 a^{3} b^{5}+35 a^{2} b^{2}+49 a^{2} b+7 a^{2} b= \) b) \( x^{2}-15 x+56= \) c) \( 16 x^{4} y^{6}-25 x^{10} y^{8}= \)

Factor the expression by following steps: - step0: Factor: \(x^{2}-15x+56\) - step1: Rewrite the expression: \(x^{2}+\left(-7-8\right)x+56\) - step2: Calculate: \(x^{2}-7x-8x+56\) - step3: Rewrite the expression: \(x\times x-x\times 7-8x+8\times 7\) - step4: Factor the expression: \(x\left(x-7\right)-8\left(x-7\right)\) - step5: Factor the expression: \(\left(x-8\right)\left(x-7\right)\) Factor the expression \( 14 a^{3} b^{5}+35 a^{2} b^{2}+49 a^{2} b+7 a^{2} b \). Factor the expression by following steps: - step0: Factor: \(14a^{3}b^{5}+35a^{2}b^{2}+49a^{2}b+7a^{2}b\) - step1: Add the terms: \(14a^{3}b^{5}+35a^{2}b^{2}+56a^{2}b\) - step2: Rewrite the expression: \(7a^{2}b\times 2ab^{4}+7a^{2}b\times 5b+7a^{2}b\times 8\) - step3: Factor the expression: \(7a^{2}b\left(2ab^{4}+5b+8\right)\) Factor the expression \( 16 x^{4} y^{6}-25 x^{10} y^{8} \). Factor the expression by following steps: - step0: Factor: \(16x^{4}y^{6}-25x^{10}y^{8}\) - step1: Factor the expression: \(x^{4}y^{6}\left(16-25x^{6}y^{2}\right)\) - step2: Factor the expression: \(x^{4}y^{6}\left(4-5x^{3}y\right)\left(4+5x^{3}y\right)\) Aquí están las factorizaciones de las expresiones dadas: a) \( 14 a^{3} b^{5}+35 a^{2} b^{2}+49 a^{2} b+7 a^{2} b = 7a^{2}b(2ab^{4}+5b+8) \) b) \( x^{2}-15 x+56 = (x-8)(x-7) \) c) \( 16 x^{4} y^{6}-25 x^{10} y^{8 = x^{4}y^{6}(4-5x^{3}y)(4+5x^{3}y) \) Si necesitas más ayuda o aclaraciones, no dudes en preguntar.