Subtract 4p2โ3q2+5qโ24๐2โ3๐2+5๐โ2 from 6p2โ3pq+7q2+4pโ26๐2โ3๐๐+7๐2+4๐โ2.A.10p2โ3pq+4q2+4p+5qโ410๐2โ3๐๐+4๐2+4๐+5๐โ4B.โ2p2+3pq+4q2โ4p+5qโ2๐2+3๐๐+4๐2โ4๐+5๐C.2p2โ3pq+4q2+4pโ5qโ42๐2โ3๐๐+4๐2+4๐โ5๐โ4D.2p2โ3pq+10q2+4pโ5q
Question
Subtract 4p2โ3q2+5qโ24๐2โ3๐2+5๐โ2 from 6p2โ3pq+7q2+4pโ26๐2โ3๐๐+7๐2+4๐โ2.A.10p2โ3pq+4q2+4p+5qโ410๐2โ3๐๐+4๐2+4๐+5๐โ4B.โ2p2+3pq+4q2โ4p+5qโ2๐2+3๐๐+4๐2โ4๐+5๐C.2p2โ3pq+4q2+4pโ5qโ42๐2โ3๐๐+4๐2+4๐โ5๐โ4D.2p2โ3pq+10q2+4pโ5q
Solution
The question seems to be asking to subtract one polynomial from another. Here are the steps to do that:
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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)
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Change the signs of the terms in Polynomial B, because we are subtracting it from Polynomial A:
-4p^2 + 3q^2 - 5q + 2
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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
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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.
Similar Questions
Subtract 4p2โ3q2+5qโ24๐2โ3๐2+5๐โ2 from 6p2โ3pq+7q2+4pโ26๐2โ3๐๐+7๐2+4๐โ2.A.10p2โ3pq+4q2+4p+5qโ410๐2โ3๐๐+4๐2+4๐+5๐โ4B.โ2p2+3pq+4q2โ4p+5qโ2๐2+3๐๐+4๐2โ4๐+5๐C.2p2โ3pq+4q2+4pโ5qโ42๐2โ3๐๐+4๐2+4๐โ5๐โ4D.2p2โ3pq+10q2+4pโ5q
(โpโ4qโ9)โ(โ8pโ9qโ8)
Factorize: 24p2q โ 4pq2 + 6pq.
Simplify the expression (p5r2)4(โ7p3r4)(6pr3)(๐5๐2)4(-7๐3๐4)(6๐๐3) . 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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