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Quadrado da soma e da diferença
a=(r+4s)²
b=(10x+y)²
c=(2y+3a)²
d=(xy+z³)²
e=(x²y+xy²)²
f=(r-4s)²
g=(10-y)²
h=(3y-3a)²
i=(y³-1)²
j=(4x²-7)²


RESOLVENDO

A) r²+ 8rs+16s²
b)100x²+10xy+y²
c)4y²+12ya+9a²
já ?

A) \( (r+4s)^2=r^2+2r\cdot(4s)+(4s)^2=r^2+8rs+16s^2 \)
b) \( (10x+y)^2=(10x)^2+2\cdot(10x)y+y^2=100x^2+20xy+y^2 \)
c) \( (2y+3a)^2=(2y)^2+2\cdot(2y)\cdot(3a)+(3a)^2=4y^2+12ay+9a^2 \)
d) \( (xy+z^3)^2=(xy)^2+2(xy)z^3+(z^3)^2=x^2y^2+2xyz^3+z^6 \)
e)
\( (x^2y+xy^2)^2=(x^2y)^2+2(x^2y)(xy^2)+(xy^2)^2=x^4y^2+2x^3y^3+x^2y^4 \)
f) \( (r-4s)=r^2-8rs+16s^2 \)
g) \( (10-y)^2=100-20y+y^2 \)
h) \( (3y-3a)^2=9y^2-18ay+9a^2 \)
i) \( (y^3-1)^2=y^6-2y^3+1 \)
j) \( (4x^2-7)^2=16x^4-56x^2+49 \).



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