smc-4357-40-Binomial expansion

Algebraic Techniques, SMB-066

Expand and simplify `(2x+3)(4x^2-6x+9).` (2 marks)

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` 8x^3+27`

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`(2x+3)(4x^2-6x+9)`	`=8x^3-12x^2+18x+12x^2-18x+27`
	`= 8x^3+27`

Expand and simplify the expression `(3a+1)(2-a)+2a+4` (2 marks)

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`-3a^2+7a+6`

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`(3a+1)(2-a)+2a+4`	`=6a-3a^2+2-a+2a+4`
	`=-3a^2+7a+6`

Expand and simplify the expression `(4x-3y)(y-x)` (2 marks)

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`-4x^2+7xy-3y^2`

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`(4x-3y)(y-x)`	`=4xy-4x^2-3y^2+3xy`
	`=-4x^2+7xy-3y^2`

Expand and simplify the expression `(7m-3)(m-2)` (2 marks)

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`7m^2-17m+6`

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`(7m-3)(m-2)`	`=7m^2-14m-3m+6`
	`=7m^2-17m+6`

Expand and simplify the expression `(a-b)(3a-2b)` (2 marks)

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`3a^2-5ab+2b^2`

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`(a-b)(3a-2b)`	`=3a^2-2ab-3ab+2b^2`
	`=3a^2-5ab+2b^2`

Expand and simplify the expression `(2p-3)(p+1)` (2 marks)

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`2p^2-p-3`

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`(2p-3)(p+1)`	`=2p^2+2p-3p-3`
	`=2p^2-p-3`

Expand and simplify the expression `(2x-1)(2x+1)` (2 marks)

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`4x^2-1`

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`(2x-1)(2x+1)`	`=4x^2+2x-2x-1`
	`=4x^2-1`