Factorisation of 25 (x + y)2 – 36 (x-2y)? is equal to
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Step-by-step explanation:
25(x+2y)
2
−36(2x−5y)
2
⇒25(x
2
+4xy+4y
2
−36(4x
2
−20xy+25y
2
)
⇒25x
2
+100xy+100y
2
−144x
2
+720y−900y
2
⇒−119x
2
+820xy−800y
2
⇒−119x
2
+680xy+140xy−800y
2
⇒−17x(7x−40y)+20y(7x−40y)
⇒(17x−20y)(40y−7x)
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