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Use a suitable identity and factorise a. x^2/4 - y^2/4 b. x^2=y^2/100 |
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Answer» a. (x + y)(x - y)/4 and b. (10x + y)(10x - y) = 0 Step-by-step EXPLANATION: a. We know that a² - b² = (a - b)(a + b) So, x²/4 - y²/4 = (x² - y²)/4 = (x + y)(x - y)/4
b. x² = y²/100 x² - y²/100 = 0 a² - b² = (a - b)(a + b) (x)² - (y/10)² = 0 (x + y/10)(x - y/10) = 0 (10x + y)(10x - y)/10 = 0 (10x + y)(10x - y) = 0*10 (10x + y)(10x - y) = 0 |
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