Multiply the algebraic expression using a Special Product Formula, and simplify. (2+y3)2

nemired9

nemired9

Answered

2021-12-16

Multiply the algebraic expression using a Special Product Formula, and simplify.
(2+y3)2

Answer & Explanation

Debbie Moore

Debbie Moore

Expert

2021-12-17Added 43 answers

Step 1
Given:
(2+y3)2
Step 2
(2+y3)2=4+y6+4y3
=4+(y2)3+4y3
=4+(y2+4y)(y44y3+16y2)
enhebrevz

enhebrevz

Expert

2021-12-18Added 25 answers

The square of a binomial.
The square of a binomial sum is first term square plus two times the product of the sums plus last term square. Here we use the FOIL method.
FOIL Method:
FOIL is a standard method of multiplying two binomials. The word is the acronym for the four terms of the product.
Given expression is =(2+y3)2
Square of a given binomial sum
(2+y3)2=(2)2+22y3+(y3)2
First 2 times second term+the uct+term squared of 2 terms squared
=4+4y3+y6 (by using square of binomial formula)
RizerMix

RizerMix

Expert

2021-12-29Added 437 answers

(2+y3)2
(2+y3)2=4+y6+4y3
=4+(y2)3+4y3
=4+(y2+4y)(y44y3+16y2)

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