Question

multiply the binomial:-
(5y-2x)(3y+x)

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Answer 1

Answer:

$(5y-2x)(3y+x)\\\\15y^2+5xy-6xy-2x^2\\\\15y^2-xy-2x^2$

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Answer 2

Given binomial:

$(5y-2x)(3y+x)$

$=(5y\times3y)+(5y\times x)+(-2x\times3y)+(-2x\times x)$

$=15y^{2} +5xy+(-6xy)+(-2x^{2} )$

$=15y^{2} +5xy-6xy-2x^{2}$

$=15y^{2} -xy-2x^{2}$.

Hence, the product of binomial $(5y-2x)(3y+x)$ is $15y^{2} -xy-2x^{2}$.