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P²+2p-(q+1)(q-1) factorise it please! |
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Answer» Step-by-step EXPLANATION: (q+1)(q-1) = q²-1 p²+2p-(q²-1) = p²+2p-q²+1 = p²+2p+1 -q² Since p²+2p+1 = (p+1)² p²+2p-(q²-1) = (p+1)²-q²
CONSIDERING a =(p+1) and b=q => a²-b²= (a-b)(a+b)
p²+2p-(q²-1) = (p+1)²-q² = (p+1-q)(p+1+q) After REARRANGING , :.p²+2p-(q²-1) = (p-q+1)(p+q+1) |
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