show that (5p-3q) ^2+60pq=(5p+3q) ^2
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LHS
(5p-3q) ²+60pq
=(5p)²+(3q)²-2(5p)(3q) + 60pq
= 25p²+9q-30pq + 60pq
= 25p²+9q+30pq
RHS
(5p+3q)²
=(5p)²+(3q)²+2(5p)(3q)
= 25p²+9q-2(5p)(3q)
= 25p²+9q+30pq
LHS=RHS
(5p-3q)²+60pq=(5p+3q)²
Hope it helps you
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Answer:
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Step-by-step explanation:
LHS
(5p-3q) ²+60pq
=(5p)²+(3q)²-2(5p)(3q) + 60pq
= 25p²+9q-30pq + 60pq
= 25p²+9q+30pq
RHS
(5p+3q)²
=(5p)²+(3q)²+2(5p)(3q)
= 25p²+9q-2(5p)(3q)
= 25p²+9q+30pq
LHS=RHS
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