Question

25(5x – 3y)2 – 16(3x – 2y)2 factorise the following

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Answer 1

Step-by-step explanation:

25(5x-3y)2 - 16(3x-2y)2=0

(125x-75y)2 - (48x-32y)2=0

250x-150y-96x-64y=0

Answer 2

Answer:

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Step-by-step explanation:

$25(5x-3y)^2 - 16(3x-2y)^2 \\ \\ = \: \: 25[25x^2–30xy+9y^2] -16[9x^2–12xy+4y^2] \\ \\ = \: \: 625x^2–750xy+225y^2–144x^2+192xy-64y^2 \\ \\ = \: \: 625x^2 - 144 {x}^{2}–750xy+192xy - 144 {y}^{2} -64y^2 \\ \\ = \: \: 481 {x}^{2} - 558xy - 208 {y}^{2}$