Ramesh owns a square field of side (x + 5) m. He divides it into four parts, as shown in the figure: a square part P of side x m for wheat, two rectangular parts Q and R for vegetables, and a small square part S of side 5 m for a well.

Question

CASE_STUDIESAlgebraic Identity for Square of Binomial SumMultiplication of Monomial by Polynomial3 sub-questions

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Find the following products using appropriate identities:

Evaluate 105 × 106 without multiplying directly.

Algebraic Identity for Square of Binomial Sum

Factorise:

Write (3a + 4b + 5c)² in expanded form.

Factorise 4x² + y² + z² – 4xy – 2yz + 4xz.

Factorise the following using appropriate identities: