find the product when the first and second expressions are:....xyz and 2x²-3y+3
Answers
Step-by-step explanation:
Sol. (i) 5xyz2 – 3zy
In the expression 5xyz2 – 3zy, the terms are 5xyz2 and –3zy.
coefficient of xyz2 in the term 5xyz2 is 5.
coefficient of zy in the term –3zy is –3.
(ii) 1 + x + x2
In the expression 1 + x + x2, the terms are 1, x and x2.
Coefficient of x° in the term 1 is 1.
Coefficient of x in the term x is 1.
Coefficient of x2 is the term x2 is
Answer:
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Step-by-step explanation:
In multiplication of algebraic expression before taking up the product of algebraic expressions, let us look at two simple rules.
(i) The product of two factors with like signs is positive, and the product of two factors with unlike signs is negative.
(ii) if x is a variable and m, n are positive integers, then
(xᵐ × xⁿ) = xm+nm+n
Thus, (x³ × x⁵) = x⁸, (x⁶ + x⁴) = x6+46+4 = x1010, etc.