Question

25x2-9y2factorise using identities

Answer 1

$\huge\purple {♡}\pink{ Answer }\purple {♡}$

$25 {x}^{2} - 9 {y}^{2}$

$(5x) {}^{2} - {3y}^{2}$

using identity

${a}^{2} - {b}^{2} = (a - b)(a + b)$

$(5x - 3y)(5x + 3y)$

hope it helps you......

Answer 2

Answer:

$\bf\ answer \: (5x + 3y)(5x - 3y)$

Step-by-step explanation:

$\sf\ {2x}^{2} - {9y}^{2} \\ \\ \sf\ \implies: {(5x)}^{2} - {(3y)}^{2} \\ \\\sf\ \implies:(5x + 3y)(5x - 3y) \\ \\ \\ \\ \sf\ \bigstar {x}^{2} - {y}^{2} = (x + y)(x - y) \\ \\ \sf\ \bigstar {(x + y)}^{2} = {(x)}^{2} + 2xy + {(y)}^{2} \\ \\ \sf\ \bigstar {(x - y)}^{2} = {(x)}^{2} - 2xy + {(y)}^{2} \\ \\ \sf\ \bigstar {(x)}^{2} + {(y)}^{2} = {(x - y)}^{2} + 2xy \\ \\ \sf\ \bigstar {(x + y + z)}^{2} = {(x)}^{2} + {(y)}^{2} + {(z)}^{2} + 2(xy + yz + zx) \\ \\ \sf\ \bigstar {(x + y)}^{3} = {x}^{3} + {y}^{3} + xy(x + y) \\ \\ \sf\ \bigstar {x}^{3} - {y}^{3} = (x - y)( {x}^{2} + xy + {y}^{2} )$