If 2y + 12y = l and 2y − 12y = m, then l2 − m2 =______.(a) 2 (b) 4(c) 6 (d) 0
Question
If 2y + 12y = l and 2y − 12y = m, then l2 − m2 =______.(a) 2 (b) 4(c) 6 (d) 0
Solution
To solve this problem, we will first simplify the given equations:
Equation 1: 2y + 12y = l Combining like terms, we get: 14y = l
Equation 2: 2y - 12y = m Combining like terms, we get: -10y = m
Now, we can substitute these values into the expression l^2 - m^2:
l^2 - m^2 = (14y)^2 - (-10y)^2 Simplifying further, we have: 196y^2 - 100y^2 Combining like terms, we get: 96y^2
Therefore, the answer is 96y^2.
Similar Questions
If D =1a b cx y zl m nand D =2m - b y-l a -xn -c z evaluate D +D
12a2 – 3ab + 2b ; a = −5, b = 4
If t2 - m2 = 54 and t + m = 6, what is t - m?(A) 2(B) 3(C) 6(D) 9(E) 12
Which expression is equivalent to (xy−6)2(𝑥𝑦-6)2 for all values of x and y where the expression is defined? A. xy−36𝑥𝑦-36 B. xy36𝑥𝑦36 C. x2y−12𝑥2𝑦-12 D. x2y12
The factorization of (l + m)2 – 4lm is
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.