Multiplying 1 term with 2 terms and 1 term with 3 terms or more
3x × (5y + 2)
= 3x × 5y + 3x × 2
= 15xy + 6x
(−5y + 2) × (−3x)
= (−5y) × (−3x) + 2 × (−3x)
= 5y × 3x – 2 × 3x
= 15xy − 6x
2x × (3x + 5xy)
= 2x × 3x + 2x × 5xy
= 2 × 3 × x × x + 2 × 5 × x × x × y
= 6x 2 + 10x 2 y
5xy × (y 2 + 3)
= 5xy × y 2 + 5xy × 3
= 5 × x × y × y 2 + 5 × 3 × x × y
= 5 xy 3 + 15xy
a 2 (2ab − 5c)
= a 2 × 2ab − a 2 × 5c
= 2 × a 2 × a × b − 5 × a 2 × c
= 2a 3 b − 5a 2 c
3p × (4p 2 + 5p + 7)
= 3p × 4p 2 + 3𝑝 × 5𝑝 + 3𝑝 × 7
= 3 × 4 × 𝑝 × p 2 + 3 × 5 × 𝑝 × p + 3 × 7 × 𝑝
= 12p 3 + 15p 2 + 21𝑝
(4p 2 + 5p + 7) × 3p
= 4p 2 × 3𝑝 + 5𝑝 × 3𝑝 + 7 × 3𝑝
= 12p 3 + 15p 2 + 21𝑝
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