smc-4356-14-Multiply

Algebraic Techniques, SMB-073

Simplify `(4p-12p^2)/3 xx (6p)/(3p^2-p)`. (3 marks)

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`-8p`

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`(4p-12p^2)/3 xx (6p)/(3p^2-p)`	`= (4p(1-3p))/3 xx (6p)/(p(3p-1))`
	`= (8p(1-3p))/(3p-1)`
	`= (-8p(3p-1))/(3p-1)`
	`=-8p`

Algebraic Techniques, SMB-070

Simplify the expression `(5a-15)/3xx(6a)/(a^2-9)` (3 marks)

--- 6 WORK AREA LINES (style=lined) ---

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`(10a)/(a+3)`

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`(5a-15)/3xx(6a)/(a^2-9)`	`=(5(a-3))/3xx(2xx3xxa)/((a-3)(a+3))`
	`=(10a)/(a+3)`

Algebraic Techniques, SMB-033

Simplify the expression `(36p^2q^4)/7 xx 14/(4p^3q)` (2 marks)

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`(18q^3)/p`

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`(36p^2q^4)/7 xx 14/(4p^3q)`	`=(4 xx 9 xxp^2q^4 xx 2xx7)/(7 xx 4 xxp^3q)`
	`=(18q^3)/p`

Algebraic Techniques, SMB-032

Simplify the expression `(x^2y^5)/6 xx 18/(x^2y^2)` (2 marks)

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`3y^3`

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`(x^2y^5)/6 xx 18/(x^2y^2)`	`=(6xx3 xx x^2y^5)/(6 xx x^2y^2)`
	`=3y^3`

Algebraic Techniques, SMB-030

Simplify the expression `(3xy)/4 xx 12/(4x)` (2 marks)

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`(9y)/4`

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`(3xy)/4 xx 12/(4x)`	`=(3xy xx 4 xx 3)/(4 xx 4x)`
	`=(9y)/4`

Algebraic Techniques, SMB-009

Simplify the expression `(3p)/4 xx (8p)/9` (2 marks)

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`(2p^2)/3`

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`(3p)/4 xx (8p)/9`	`=(3p xx 8p)/(4 xx 9)`
	`=(p xx 2p)/3`
	`=(2p^2)/3`

Algebraic Techniques, SMB-008

Simplify the expression `(2a)/7 xx (14a)/3` (2 marks)

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`(4a^2)/3`

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`(2a)/7 xx (14a)/3`	`=(2a xx 14a)/(7 xx 3)`
	`=(2a xx 2a)/3`
	`=(4a^2)/3`

Algebraic Techniques, SMB-007

Simplify the expression `(5)/6 xx c/4` (2 marks)

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`(5c)/24`

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`(5)/6 xx c/4`	`=(5 xx c)/(6 xx 4)`
	`=(5c)/24`