expand the following
i)(3x+5y)^2
ii)(√2x+3y)^2
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expand the followingi)(3x+5y)^2ii)(√2x+3y)^2
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Verified answer
Step-by-step explanation:
WE CAN DO BOTH BY (a+b)²=a²+b²+2ab
1) (3x+5y)²
=(3x)²+(5y)²+2(3x)(5y)
=9x²+25y²+30xy
2) (√2x+3y)²
=(√2x)²+(3y)²+2(√2x)(3y)
=2x²+9y²+6√2xy
Answer:
i) 9[tex]x^{2}[/tex] + 30xy + [tex]25y^{2}[/tex]
ii) 2[tex]x^{2}[/tex] + 6[tex]\sqrt{2}[/tex] xy + 9[tex]y^{2}[/tex]
Step-by-step explanation:
Use the identity : [tex](a+b)^{2} = a^{2} + 2ab + b^{2}[/tex]
i) (3x+5y)^2 =
[tex](3x)^{2} + 2(3x)(5y) + (5y)^{2} \\ =9x^{2} + 30xy + 25y^{2}[/tex]
ii)(√2x+3y)^2 =
[tex](\sqrt{2}x) ^{2} + 2(\sqrt{2}x)(3y) + (3y)^{2} \\= 2x^{2} + 6\sqrt{2}xy + 9y^{2}[/tex]