interdicoxd

2021-12-13

Factor the polynomial
$36{a}^{2}-84at+49{t}^{2}$

aquariump9

Step 1
Consider the given expression.
$36{a}^{2}-84at+49{t}^{2}$
Step 2
On simplifying the above expression, then
$⇒{\left(6a\right)}^{2}-2×6a×7t+{\left(7t\right)}^{2}$
$⇒\left(6a{\right)}^{2}+\left(7t{\right)}^{2}-2×6a×7t$
Step 3
Property used:
${\left(x-y\right)}^{2}={x}^{2}+{y}^{2}-2xy$
Step 4
Therefore, the factor of the given expression will be
$⇒{\left(6a-7t\right)}^{2}$

Step 5
Answer: The factor of the given expression is equal to (6a-7t)(6a-7t).

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