Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

simplify the following expression. $(3x - 2)^2$ $?x^2 + \\square x + \\…

Question

simplify the following expression.
$(3x - 2)^2$
$?x^2 + \square x + \square$

Explanation:

Step1: Apply square of binomial formula

Recall that $(a-b)^2 = a^2 - 2ab + b^2$. Here, $a=3x$, $b=2$.

Step2: Calculate $a^2$ term

$(3x)^2 = 9x^2$

Step3: Calculate $-2ab$ term

$-2 \times 3x \times 2 = -12x$

Step4: Calculate $b^2$ term

$2^2 = 4$

Step5: Combine all terms

$9x^2 -12x +4$

Answer:

$9x^2 + (-12)x + 4$
(The blanks are filled with 9, -12, 4 respectively)