if p and q are zeroes of the quadratic polynomal 2x2+2(m+n)x+m2+n2 form the quadratic polynomial whose zeroes are (p2+q2)and (p2-q2)
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Step-by-step explanation:
P(x) = x² +mx + n²
Sum of zeroes p+q = - m ……. (1)
Product of zeroes = pq = n² ……. (2)
TO FIND: p² + pq + q²
= ( p+q)² - pq
=> (-m)² - n²
= m² - n²
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