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Subtract 4p2โ€“3q2+5qโ€“24๐‘2โ€“3๐‘ž2+5๐‘žโ€“2 from 6p2โ€“3pq+7q2+4pโ€“26๐‘2โ€“3๐‘๐‘ž+7๐‘ž2+4๐‘โ€“2.A.10p2โ€“3pq+4q2+4p+5qโˆ’410๐‘2โ€“3๐‘๐‘ž+4๐‘ž2+4๐‘+5๐‘žโˆ’4B.โˆ’2p2+3pq+4q2โˆ’4p+5qโˆ’2๐‘2+3๐‘๐‘ž+4๐‘ž2โˆ’4๐‘+5๐‘žC.2p2โ€“3pq+4q2+4pโˆ’5qโˆ’42๐‘2โ€“3๐‘๐‘ž+4๐‘ž2+4๐‘โˆ’5๐‘žโˆ’4D.2p2โ€“3pq+10q2+4pโ€“5q

Question

Subtract 4p2โ€“3q2+5qโ€“24๐‘2โ€“3๐‘ž2+5๐‘žโ€“2 from 6p2โ€“3pq+7q2+4pโ€“26๐‘2โ€“3๐‘๐‘ž+7๐‘ž2+4๐‘โ€“2.A.10p2โ€“3pq+4q2+4p+5qโˆ’410๐‘2โ€“3๐‘๐‘ž+4๐‘ž2+4๐‘+5๐‘žโˆ’4B.โˆ’2p2+3pq+4q2โˆ’4p+5qโˆ’2๐‘2+3๐‘๐‘ž+4๐‘ž2โˆ’4๐‘+5๐‘žC.2p2โ€“3pq+4q2+4pโˆ’5qโˆ’42๐‘2โ€“3๐‘๐‘ž+4๐‘ž2+4๐‘โˆ’5๐‘žโˆ’4D.2p2โ€“3pq+10q2+4pโ€“5q

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Solution

The question seems to be asking to subtract one polynomial from another. Here are the steps to do that:

  1. Write down the two polynomials:

    6p^2 - 3pq + 7q^2 + 4p - 2 (let's call this Polynomial A)

    4p^2 - 3q^2 + 5q - 2 (let's call this Polynomial B)

  2. Change the signs of the terms in Polynomial B, because we are subtracting it from Polynomial A:

    -4p^2 + 3q^2 - 5q + 2

  3. Add the terms of Polynomial A and the sign-changed terms of Polynomial B:

    (6p^2 - 4p^2) + (-3pq) + (7q^2 + 3q^2) + (4p) + (-5q) - 2 + 2

  4. Simplify the terms:

    2p^2 - 3pq + 10q^2 + 4p - 5q

So, the answer is 2p^2 - 3pq + 10q^2 + 4p - 5q, which corresponds to option D.

This problem has been solved

Similar Questions

Subtract 4p2โ€“3q2+5qโ€“24๐‘2โ€“3๐‘ž2+5๐‘žโ€“2 from 6p2โ€“3pq+7q2+4pโ€“26๐‘2โ€“3๐‘๐‘ž+7๐‘ž2+4๐‘โ€“2.A.10p2โ€“3pq+4q2+4p+5qโˆ’410๐‘2โ€“3๐‘๐‘ž+4๐‘ž2+4๐‘+5๐‘žโˆ’4B.โˆ’2p2+3pq+4q2โˆ’4p+5qโˆ’2๐‘2+3๐‘๐‘ž+4๐‘ž2โˆ’4๐‘+5๐‘žC.2p2โ€“3pq+4q2+4pโˆ’5qโˆ’42๐‘2โ€“3๐‘๐‘ž+4๐‘ž2+4๐‘โˆ’5๐‘žโˆ’4D.2p2โ€“3pq+10q2+4pโ€“5q

(โˆ’pโˆ’4qโˆ’9)โˆ’(โˆ’8pโˆ’9qโˆ’8)

Factorize: 24p2q โ€“ 4pq2 + 6pq.

Simplify the expression (p5r2)4(โˆ’7p3r4)(6pr3)(๐‘5๐‘Ÿ2)4(-7๐‘3๐‘Ÿ4)(6๐‘๐‘Ÿ3) . Write the variables in alphabetical order.

(x2- y2)2 + 4x2y2(b) (0.5p -โ€“ 1.5q)2 โ€“ (0.5p โ€“ 1.5q)2 +p2q2(c) 39n3(50n2 โ€“ 98 ) รท 26n2(5n โ€“ 7)(d) 44(p4 โ€“ 5p3 โ€“ 24p2) รท 11p(p โ€“ 8)(e) 9pยฒqยฒ (3z โ€“ 12) รท 27pq(z โ€“ 4)(f) (4x2 โ€“ 100) รท 6(x + 5)

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