Question

factorise:
1. 25-4y²
2. 4a²-b²
3. 25a²b²-49x²y²
4. (2p-3q)²-(3p+2p)²

Answer 1

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Answer 2

Answer:

explanation

Step-by-step explanation:

$1. \: 25 - 4 {y}^{2} = {5}^{2} - {(2y)}^{2} \\ = (5 + 2y)(5 - 2y)$

$2. \: 4 {a}^{2} - {b}^{2} = {(2a)}^{2} - {b}^{2} \\ =( 2a + b)(2a - b)$

$3. \: 25 {a}^{2} {b}^{2} - 49 {x}^{2} {y}^{2} \\ = {(5ab)}^{2} - {(7xy)}^{2} \\ = (5ab + 7xy)(5ab - 7xy)$

$4. \: (2p - 3q + (3p + 2q)) \\ (2p - 3q - (3p + 2q)) \\ = (2p - 3q + 3p + 2q) \\ (2p - 3q - 3p - 2q) \\ (5p - q)( - p - 5q)$