Simplify -5a-3b-3 - -5a-3b-3

(5a + 3b)3 – (5a – 3b)3= (5a + 3b) – (5a – 3b) (5a + 3b)2 + (5a – 3b)2 + (5a + 3b) (5a – 3b) nbsp;= 6b (25a2 + 9b2+ 30 ab + 25a2 + 9b2 – 30 ab + 25a2 – 9b2 ...

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Byju's Answer

Standard IX

Mathematics

(x±a)(x±b) = x²±(a+b)x+ab.

simplify (5a+...

Question

simplify (5a+3b)³ - (5a-3b)³

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Solution

(5a + 3b)³ – (5a – 3b)³
= (5a + 3b) – (5a – 3b) {(5a + 3b)² + (5a – 3b)²+ (5a + 3b) (5a – 3b)}
= 6b (25a² + 9b²+ 30 ab + 25a² + 9b²– 30 ab + 25a² – 9b²}
= 6b (75a² + 9b²)

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simplify (5a+3b)3 - (5a-3b)3

(5a + 3b)3 – (5a – 3b)3= (5a + 3b) – (5a – 3b) {(5a + 3b)2 + (5a – 3b)2 + (5a + 3b) (5a – 3b)} = 6b (25a2 + 9b2+ 30 ab + 25a2 + 9b2 – 30 ab + 25a2 – 9b2} = 6b (75a2 + 9b2)

simplify (5a+3b)³ - (5a-3b)³

(5a + 3b)³ – (5a – 3b)³
= (5a + 3b) – (5a – 3b) {(5a + 3b)² + (5a – 3b)²+ (5a + 3b) (5a – 3b)}
= 6b (25a² + 9b²+ 30 ab + 25a² + 9b²– 30 ab + 25a² – 9b²}
= 6b (75a² + 9b²)