Question

a power 4 + 25b power 4 - 10a power 2 b power 2

Answer 1

${a}^{4} + {25b}^{4} - {10a}^{2} {b}^{2} \\ \\ = {a}^{4} - {10a}^{2} {b}^{2} + {25b}^{4} \\ \\ = {a}^{4} - 5 {a}^{2} {b}^{2} - 5 {a}^{2} {b}^{2} + {25b}^{4} \\ \\ = {a}^{2} ( {a}^{2} - {5b}^{2} ) - {5b}^{2} ( {a}^{2} - {5b}^{2}) \\ \\ = ( {a}^{2} - {5b}^{2})( {a}^{2} - {5b}^{2})$