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Expand the following: (−6x − 7y)2 - Mathematics

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प्रश्न

Expand the following:

(−6x − 7y)2

योग
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उत्तर

(−6x − 7y)2

Using the identity:

(a + b)2 = a2 + 2ab + b2

Here, (−6x − 7y)2 = [−(6x + 7y)]2 = (6x + 7y)2

So, let a = 6x, b = 7y

(6x + 7y)2 = (6x)2 + 2(6x) (7y) + (7y)2

= 36x2 + 2(42xy) + 49y2

∴ (6x + 7y)2 = 36x2 + 84xy + 49y2

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अध्याय 3: Expansions - MISCELLANEOUS EXERCISE [पृष्ठ ३९]

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बी निर्मला शास्त्री Mathematics [English] Class 9 ICSE
अध्याय 3 Expansions
MISCELLANEOUS EXERCISE | Q 1. (iii) | पृष्ठ ३९
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