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Expand each of the following using suitable identities (-2x+5y-3z)²

Posted by Shruti Gupta 5 years, 4 months ago

CBSE > Class 09 > Mathematics

1 answers

Gaurav Seth 5 years, 4 months ago

We know that

(a+b+c)² = a² + b² + c² + 2(ab + bc + ca)

So,

(-2x + 5y - 3z)²

= (-2x)² + (5y)² + (-3z)² + 2 [ (-2x)*5y + 5y*(-3z) + (-3z)*(-2x) ]

= 4x² + 25y² + 9z² + 2 [ (-10xy) + (-15yz) + 6xz ]

= 4x² + 25y² + 9z² - 20xy - 30yz + 12xz

1Thank You

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