Question

(+9b^2)^2 представить в виде многочлена

Answer 1

(1+9в²)²=1²+2*1*9в²+(9в²)²=1+18в²+81в⁴
применили формулу  (а+в)²=а²+2ав+в²

Answer 2

To expand the expression (+9b^2)^2, we need to perform the operation of squaring it. This means we'll multiply the expression by itself. Let's proceed with the calculation:

(+9b^2)^2 = (+9b^2) * (+9b^2)

To multiply these two expressions, we'll use the distributive property:

(+a * +b) * (+c * +d) = (+a * +c) + (+a * +d) + (+b * +c) + (+b * +d)

In our case, a = b = c = d = 9b^2:

(+9b^2 * +9b^2) = (+9b^2 * +9b^2) + (+9b^2 * +9b^2) + (+9b^2 * +9b^2) + (+9b^2 * +9b^2)

Now, let's simplify the expression:

(+9b^2 * +9b^2) = 81b^4

Finally, the expression (+9b^2)^2 represented as a polynomial is:

(+9b^2)^2 = 81b^4