Answer:
The coefficient of xy^4 is 10
Step-by-step explanation:
to solve the questions we proceed as follows:
(2x+y)^5
=(2x+y)²(2x+y)²(2x+y)
We will solve the brackets by whole square formula:
=(4x²+4xy+y²)(4x²+4xy+y²)(2x+y)
By multiplying the brackets we get:
=32x^5+32x^4y+8x³y²+32x^4y+32x³y²+8x²y³+8x³y²+4x²y³+2xy^4+16x^4y+
16x³y²+4x²y³+16x³y²+16x²y³+4xy^4+4x²y³+4xy^4+y^5
=32x^5+80x^4y+80x³y²+40x²y³+10xy^4+y^5
Therefore the coefficient of xy^4 is 10
The answer is 10....
