25(2x+y)^2-16(x-y)^2
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25(2x + y)² - 16(x - y)²
= {5(2x + y)}² - {4(x - y)}²
we know,
a² - b² = (a - b)(a + b) use this concept here,
= {5(2x + y) + 4(x - y)}{5(2x + y) - 4(x - y)}
= (10x + 5y + 4x - 4y)(10x + 5y -4x + 4y)
=(14x + y)( 6x + 9y)
= {5(2x + y)}² - {4(x - y)}²
we know,
a² - b² = (a - b)(a + b) use this concept here,
= {5(2x + y) + 4(x - y)}{5(2x + y) - 4(x - y)}
= (10x + 5y + 4x - 4y)(10x + 5y -4x + 4y)
=(14x + y)( 6x + 9y)
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1
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