Question

Simplify the (a²+b²) (c-d) (a-2b) simplify the following by brainly

Answer 1

Answer:

$(a {}^{2} + b {}^{2} )(c - d)(a - 2b)$

$(a {}^{2} c - a {}^{2} d + b {}^{2} c - b {}^{2} d)(a - 2b)$

$(a {}^{3} c - 2 {a}^{2} bc - {a}^{3} d + 2 {a}^{2} bd + ab {}^{2} c - 2 {b}^{3} c - ab {}^{2} d + 2 {b}^{3} d$

$( {a}^{3} c - {a}^{3} d) + (2 {b}^{3}d - 2 {b}^{3} c) + (2a {}^{2} bd - 2 {a}^{2} bc) + (ab {}^{2} c - ab {}^{2} d)$

${a}^{3} (c - d) + 2 {b}^{3} (d - c) + 2 {a}^{2} b(d - c) + ab {}^{2} (c - d)$

$(c - d)( {a}^{3} - 2 {b}^{3} - 2 {a}^{2} b + {a}^{2} b)$

$(c - d)( {a}^{3} - 2 {b}^{3} - a {}^{2} b)$