Math, asked by anantjain8102006, 11 months ago

9x^2-30x+25-4y^2factorise​

Answers

Answered by mysticd
26

Answer:

(3x-5+2y)(3x-5-2y)

Step-by-step explanation:

Given 9x²-30x+25-4y²

= (9x²-30x+25)-4y²

= [(3x)²-2×3x×5+5²]-4y²

= (3x-5)²-(2y)²

/* By algebraic identity:

1. -2ab+ = (a-b)²

2. -b² = (a+b)(a-b) */

= [(3x-5)+2y][(3x-5)-2y]

= (3x-5+2y)(3x-5-2y)

Or

= (3x+2y-5)(3x-2y-5)

Therefore,

9x²-30x+25-4y²

= (3x-5+2y)(3x-5-2y)

Answered by saumyavasvani09
0

Step-by-step explanation:

mark as brainlist answer

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