Resolve the following into factors :
9x² - 30x + 25 - 4y²
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Answer:
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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. a²-2ab+b² = (a-b)²
2. a²-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)
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